10312920000 has 420 divisors, whose sum is σ = 38342520216. Its totient is φ = 2747520000.

The previous prime is 10312919971. The next prime is 10312920029. The reversal of 10312920000 is 2921301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10312919971) and next prime (10312920029).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9719470 + ... + 9720530.

Almost surely, 2^10312920000 is an apocalyptic number.

10312920000 is a gapful number since it is divisible by the number (10) 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 10312920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171260108).

10312920000 is an abundant number, since it is smaller than the sum of its proper divisors (28029600216).

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

10312920000 is an frugal number, since it uses more digits than its factorization.

10312920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 10312920000 in words is "ten billion, three hundred twelve million, nine hundred twenty thousand".