10112122944 has 840 divisors, whose sum is σ = 39241171200. Its totient is φ = 2570641920.

The previous prime is 10112122901. The next prime is 10112122961. The reversal of 10112122944 is 44922121101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 215151529 + ... + 215151575.

It is an arithmetic number, because the mean of its divisors is an integer number (46715680).

Almost surely, 2^10112122944 is an apocalyptic number.

10112122944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112122944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19620585600).

10112122944 is an abundant number, since it is smaller than the sum of its proper divisors (29129048256).

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

10112122944 is an equidigital number, since it uses as much as digits as its factorization.

10112122944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10112122944 in words is "ten billion, one hundred twelve million, one hundred twenty-two thousand, nine hundred forty-four".