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120101837856 = 253711131249811
BaseRepresentation
bin110111111011010100…
…0001001110000100000
3102111000002210111202220
41233312220021300200
53431432032302411
6131101331111040
711451143530530
oct1576650116040
9374002714686
10120101837856
1146a313a1440
121b339a42480
13b430322560
145b54a954c0
1531cddbeb06
hex1bf6a09c20

120101837856 has 192 divisors, whose sum is σ = 423296326656. Its totient is φ = 28795622400.

The previous prime is 120101837839. The next prime is 120101837857. The reversal of 120101837856 is 658738101021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (120101837857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528810 + ... + 721001.

It is an arithmetic number, because the mean of its divisors is an integer number (2204668368).

Almost surely, 2120101837856 is an apocalyptic number.

120101837856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120101837856 is an abundant number, since it is smaller than the sum of its proper divisors (303194488800).

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

120101837856 is a wasteful number, since it uses less digits than its factorization.

120101837856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249855 (or 1249847 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

Adding to 120101837856 its reverse (658738101021), we get a palindrome (778839938877).

The spelling of 120101837856 in words is "one hundred twenty billion, one hundred one million, eight hundred thirty-seven thousand, eight hundred fifty-six".