10231200000 has 972 divisors, whose sum is σ = 44370324180. Its totient is φ = 2257920000.

The previous prime is 10231199999. The next prime is 10231200011. The reversal of 10231200000 is 213201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8352497664 + 1878702336 = 91392^2 + 43344^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 352799986 + ... + 352800014.

Almost surely, 2^10231200000 is an apocalyptic number.

10231200000 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 10231200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22185162090).

10231200000 is an abundant number, since it is smaller than the sum of its proper divisors (34139124180).

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

10231200000 is an frugal number, since it uses more digits than its factorization.

10231200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10231200000 its reverse (213201), we get a palindrome (10231413201).

The spelling of 10231200000 in words is "ten billion, two hundred thirty-one million, two hundred thousand".