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120112100001 = 32313712978971
BaseRepresentation
bin110111111011100111…
…1010011001010100001
3102111000211002212210100
41233313033103022201
53431442144200001
6131102335053013
711451330001365
oct1576717231241
9374024085710
10120112100001
1146a37170553
121b341371169
13b4324a652a
145b561a72a5
1531cec4a586
hex1bf73d32a1

120112100001 has 48 divisors (see below), whose sum is σ = 184094530048. Its totient is φ = 75330777600.

The previous prime is 120112099997. The next prime is 120112100041. The reversal of 120112100001 is 100001211021.

It is a happy number.

It is not a de Polignac number, because 120112100001 - 22 = 120112099997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120112100041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13384446 + ... + 13393416.

Almost surely, 2120112100001 is an apocalyptic number.

It is an amenable number.

120112100001 is a deficient number, since it is larger than the sum of its proper divisors (63982430047).

120112100001 is a wasteful number, since it uses less digits than its factorization.

120112100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10342 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120112100001 its reverse (100001211021), we get a palindrome (220113311022).

The spelling of 120112100001 in words is "one hundred twenty billion, one hundred twelve million, one hundred thousand, one".

Divisors: 1 3 9 31 37 93 111 279 333 1147 1297 3441 3891 8971 10323 11673 26913 40207 47989 80739 120621 143967 278101 331927 361863 431901 834303 995781 1487659 2502909 2987343 4462977 10289737 11635387 13388931 30869211 34906161 92607633 104718483 360696997 430509319 1082090991 1291527957 3246272973 3874583871 13345788889 40037366667 120112100001