296624940122112 has 672 divisors, whose sum is σ = 988091115024384. Its totient is φ = 77188615372800.

The previous prime is 296624940122087. The next prime is 296624940122281. The reversal of 296624940122112 is 211221049426692.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×296624940122112² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11604577812 + ... + 11604603372.

It is an arithmetic number, because the mean of its divisors is an integer number (1470373683072).

Almost surely, 2^{296624940122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296624940122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494045557512192).

296624940122112 is an abundant number, since it is smaller than the sum of its proper divisors (691466174902272).

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

296624940122112 is an frugal number, since it uses more digits than its factorization.

296624940122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25659 (or 25621 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 296624940122112 in words is "two hundred ninety-six trillion, six hundred twenty-four billion, nine hundred forty million, one hundred twenty-two thousand, one hundred twelve".