31312412000 has 96 divisors (see below), whose sum is σ = 77682556224. Its totient is φ = 12403200000.

The previous prime is 31312411997. The next prime is 31312412009. The reversal of 31312412000 is 21421313.

It is a self number, because there is not a number n which added to its sum of digits gives 31312412000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31312412009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374000 + ... + 450000.

It is an arithmetic number, because the mean of its divisors is an integer number (809193294).

Almost surely, 2^31312412000 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 31312412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38841278112).

31312412000 is an abundant number, since it is smaller than the sum of its proper divisors (46370144224).

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

31312412000 is a wasteful number, since it uses less digits than its factorization.

31312412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76129 (or 76111 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 31312412000 its reverse (21421313), we get a palindrome (31333833313).

The spelling of 31312412000 in words is "thirty-one billion, three hundred twelve million, four hundred twelve thousand".