312332310000 has 300 divisors, whose sum is σ = 1099649093400. Its totient is φ = 82726080000.

The previous prime is 312332309981. The next prime is 312332310041. The reversal of 312332310000 is 13233213.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×312332310000² (a number of 24 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13398355 + ... + 13421645.

It is an arithmetic number, because the mean of its divisors is an integer number (3665496978).

Almost surely, 2^312332310000 is an apocalyptic number.

312332310000 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 312332310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549824546700).

312332310000 is an abundant number, since it is smaller than the sum of its proper divisors (787316783400).

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

312332310000 is a wasteful number, since it uses less digits than its factorization.

312332310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23474 (or 23450 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 312332310000 its reverse (13233213), we get a palindrome (312345543213).

The spelling of 312332310000 in words is "three hundred twelve billion, three hundred thirty-two million, three hundred ten thousand".