31200000000 has 432 divisors, whose sum is σ = 111972598920. Its totient is φ = 7680000000.

The previous prime is 31199999923. The next prime is 31200000017. The reversal of 31200000000 is 213.

It is a Harshad number since it is a multiple of its sum of digits (6).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2399999994 + ... + 2400000006.

Almost surely, 2^31200000000 is an apocalyptic number.

31200000000 is a gapful number since it is divisible by the number (30) 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 31200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55986299460).

31200000000 is an abundant number, since it is smaller than the sum of its proper divisors (80772598920).

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

31200000000 is an frugal number, since it uses more digits than its factorization.

31200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 31200000000 its reverse (213), we get a palindrome (31200000213).

It can be divided in two parts, 3 and 1200000000, that multiplied together give a square (3600000000 = 60000²).

The spelling of 31200000000 in words is "thirty-one billion, two hundred million", and thus it is an aban number.