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120221201120 = 25517103342787
BaseRepresentation
bin110111111110110111…
…1011111001011100000
3102111022102101210101112
41233331233133023200
53432203111413440
6131121233322452
711454123230426
oct1577557371340
9374272353345
10120221201120
1146a92808869
121b371a06428
13b44bc856c7
145b66887116
1531d95eb965
hex1bfdbdf2e0

120221201120 has 96 divisors (see below), whose sum is σ = 301027956768. Its totient is φ = 45214875648.

The previous prime is 120221201101. The next prime is 120221201123. The reversal of 120221201120 is 21102122021.

It is a junction number, because it is equal to n+sod(n) for n = 120221201095 and 120221201104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221201123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2788367 + ... + 2831153.

It is an arithmetic number, because the mean of its divisors is an integer number (3135707883).

Almost surely, 2120221201120 is an apocalyptic number.

120221201120 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 120221201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150513978384).

120221201120 is an abundant number, since it is smaller than the sum of its proper divisors (180806755648).

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

120221201120 is a wasteful number, since it uses less digits than its factorization.

120221201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43852 (or 43844 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120221201120 its reverse (21102122021), we get a palindrome (141323323141).

The spelling of 120221201120 in words is "one hundred twenty billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1033 1360 2066 2720 4132 5165 8264 10330 16528 17561 20660 33056 35122 41320 42787 70244 82640 85574 87805 140488 165280 171148 175610 213935 280976 342296 351220 427870 561952 684592 702440 727379 855740 1369184 1404880 1454758 1711480 2809760 2909516 3422960 3636895 5819032 6845920 7273790 11638064 14547580 23276128 29095160 44198971 58190320 88397942 116380640 176795884 220994855 353591768 441989710 707183536 751382507 883979420 1414367072 1502765014 1767958840 3005530028 3535917680 3756912535 6011060056 7071835360 7513825070 12022120112 15027650140 24044240224 30055300280 60110600560 120221201120