10121312992 has 72 divisors (see below), whose sum is σ = 23309755560. Its totient is φ = 4313352960.

The previous prime is 10121312959. The next prime is 10121313011. The reversal of 10121312992 is 29921312101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262642 + ... + 298702.

It is an arithmetic number, because the mean of its divisors is an integer number (323746605).

Almost surely, 2^10121312992 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 10121312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654877780).

10121312992 is an abundant number, since it is smaller than the sum of its proper divisors (13188442568).

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

10121312992 is a wasteful number, since it uses less digits than its factorization.

10121312992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36264 (or 36249 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 10121312992 in words is "ten billion, one hundred twenty-one million, three hundred twelve thousand, nine hundred ninety-two".