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122000011218 = 23419283140057
BaseRepresentation
bin111000110011111000…
…1000110111111010010
3102122220101112201010000
41301213301012333102
53444324000324333
6132013535350430
711546162661621
oct1614761067722
9378811481100
10122000011218
114781590a158
121b789682416
13b673666867
145c94c056b8
15329086b713
hex1c67c46fd2

122000011218 has 80 divisors (see below), whose sum is σ = 288777186720. Its totient is φ = 38389909824.

The previous prime is 122000011183. The next prime is 122000011219. The reversal of 122000011218 is 812110000221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 122000011218.

It is not an unprimeable number, because it can be changed into a prime (122000011219) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 801046 + ... + 941102.

It is an arithmetic number, because the mean of its divisors is an integer number (3609714834).

Almost surely, 2122000011218 is an apocalyptic number.

122000011218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122000011218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144388593360).

122000011218 is an abundant number, since it is smaller than the sum of its proper divisors (166777175502).

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

122000011218 is a wasteful number, since it uses less digits than its factorization.

122000011218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140373 (or 140364 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122000011218 its reverse (812110000221), we get a palindrome (934110011439).

The spelling of 122000011218 in words is "one hundred twenty-two billion, eleven thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 283 342 513 566 849 1026 1539 1698 2547 3078 5094 5377 7641 10754 15282 16131 22923 32262 45846 48393 96786 140057 145179 280114 290358 420171 435537 840342 871074 1260513 2521026 2661083 3781539 5322166 7563078 7983249 11344617 15966498 22689234 23949747 39636131 47899494 71849241 79272262 118908393 143698482 215547723 237816786 356725179 431095446 713450358 753086489 1070175537 1506172978 2140351074 2259259467 3210526611 4518518934 6421053222 6777778401 13555556802 20333335203 40666670406 61000005609 122000011218