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12220202230320 = 2435745911584389
BaseRepresentation
bin1011000111010011110011…
…0100000010001000110000
31121021020110220102102101110
42301310330310002020300
53100203433232332240
641553514452033320
72400611001050130
oct261647464021060
947236426372343
1012220202230320
113991616640717
121454435002840
136a848b271ba6
14303664b88ac0
15162d1ec5ac80
hexb1d3cd02230

12220202230320 has 160 divisors (see below), whose sum is σ = 43303888373760. Its totient is φ = 2792578913280.

The previous prime is 12220202230309. The next prime is 12220202230339. The reversal of 12220202230320 is 2303220202221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6920686 + ... + 8505074.

It is an arithmetic number, because the mean of its divisors is an integer number (270649302336).

Almost surely, 212220202230320 is an apocalyptic number.

12220202230320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220202230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21651944186880).

12220202230320 is an abundant number, since it is smaller than the sum of its proper divisors (31083686143440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12220202230320 is a wasteful number, since it uses less digits than its factorization.

12220202230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589003 (or 1588997 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12220202230320 its reverse (2303220202221), we get a palindrome (14523422432541).

The spelling of 12220202230320 in words is "twelve trillion, two hundred twenty billion, two hundred two million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 4591 9182 13773 18364 22955 27546 32137 36728 45910 55092 64274 68865 73456 91820 96411 110184 128548 137730 160685 183640 192822 220368 257096 275460 321370 367280 385644 482055 514192 550920 642740 771288 964110 1101840 1285480 1542576 1584389 1928220 2570960 3168778 3856440 4753167 6337556 7712880 7921945 9506334 11090723 12675112 15843890 19012668 22181446 23765835 25350224 31687780 33272169 38025336 44362892 47531670 55453615 63375560 66544338 76050672 88725784 95063340 110907230 126751120 133088676 166360845 177451568 190126680 221814460 266177352 332721690 380253360 443628920 532354704 665443380 887257840 1330886760 2661773520 7273929899 14547859798 21821789697 29095719596 36369649495 43643579394 50917509293 58191439192 72739298990 87287158788 101835018586 109108948485 116382878384 145478597980 152752527879 174574317576 203670037172 218217896970 254587546465 290957195960 305505055758 349148635152 407340074344 436435793940 509175092930 581914391920 611010111516 763762639395 814680148688 872871587880 1018350185860 1222020223032 1527525278790 1745743175760 2036700371720 2444040446064 3055050557580 4073400743440 6110101115160 12220202230320