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120122100096 = 2731718401057
BaseRepresentation
bin110111111011111010…
…1011100100110000000
3102111001111220221100020
41233313311130212000
53432002224200341
6131103333253440
711451511001235
oct1576765344600
9374044827306
10120122100096
1146a41880799
121b344794280
13b43459814b
145b5764b78c
1531d0a73566
hex1bf7d5c980

120122100096 has 64 divisors (see below), whose sum is σ = 337843424880. Its totient is φ = 37685362688.

The previous prime is 120122100071. The next prime is 120122100097. The reversal of 120122100096 is 690001221021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120122100097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9194001 + ... + 9207056.

Almost surely, 2120122100096 is an apocalyptic number.

120122100096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120122100096 is an abundant number, since it is smaller than the sum of its proper divisors (217721324784).

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

120122100096 is a wasteful number, since it uses less digits than its factorization.

120122100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18401091 (or 18401079 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 120122100096 in words is "one hundred twenty billion, one hundred twenty-two million, one hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 18401057 36802114 55203171 73604228 110406342 147208456 220812684 294416912 312817969 441625368 588833824 625635938 883250736 938453907 1177667648 1251271876 1766501472 1876907814 2355335296 2502543752 3533002944 3753815628 5005087504 7066005888 7507631256 10010175008 15015262512 20020350016 30030525024 40040700032 60061050048 120122100096