10000123952112 has 360 divisors, whose sum is σ = 33026912127456. Its totient is φ = 2815881449472.

The previous prime is 10000123952051. The next prime is 10000123952131. The reversal of 10000123952112 is 21125932100001.

10000123952112 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 123 + 9 + 521 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 745325628 + ... + 745339044.

Almost surely, 2^{10000123952112} is an apocalyptic number.

10000123952112 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 10000123952112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16513456063728).

10000123952112 is an abundant number, since it is smaller than the sum of its proper divisors (23026788175344).

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

10000123952112 is a wasteful number, since it uses less digits than its factorization.

10000123952112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14965 (or 14949 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10000123952112 in words is "ten trillion, one hundred twenty-three million, nine hundred fifty-two thousand, one hundred twelve".