120890414112 has 96 divisors (see below), whose sum is σ = 344883591360. Its totient is φ = 36855751680.

The previous prime is 120890414111. The next prime is 120890414143. The reversal of 120890414112 is 211414098021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×120890414112² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120890414111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308314 + ... + 580377.

It is an arithmetic number, because the mean of its divisors is an integer number (3592537410).

Almost surely, 2^120890414112 is an apocalyptic number.

120890414112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120890414112 is an abundant number, since it is smaller than the sum of its proper divisors (223993177248).

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

120890414112 is a wasteful number, since it uses less digits than its factorization.

120890414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888826 (or 888818 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 120890414112 in words is "one hundred twenty billion, eight hundred ninety million, four hundred fourteen thousand, one hundred twelve".