10123013332992 has 224 divisors, whose sum is σ = 30858563745792. Its totient is φ = 2891412209664.

The previous prime is 10123013332973. The next prime is 10123013333023. The reversal of 10123013332992 is 29923331032101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 10123013332992.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750568873 + ... + 750582359.

Almost surely, 2^{10123013332992} is an apocalyptic number.

10123013332992 is a gapful number since it is divisible by the number (12) 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 10123013332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429281872896).

10123013332992 is an abundant number, since it is smaller than the sum of its proper divisors (20735550412800).

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

10123013332992 is an equidigital number, since it uses as much as digits as its factorization.

10123013332992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17886 (or 17862 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The spelling of 10123013332992 in words is "ten trillion, one hundred twenty-three billion, thirteen million, three hundred thirty-two thousand, nine hundred ninety-two".