312346540000 has 240 divisors, whose sum is σ = 846635627376. Its totient is φ = 112448000000.

The previous prime is 312346539971. The next prime is 312346540003. The reversal of 312346540000 is 45643213.

It is a super-2 number, since 2×312346540000² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312346540003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22212972 + ... + 22227028.

Almost surely, 2^312346540000 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 312346540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423317813688).

312346540000 is an abundant number, since it is smaller than the sum of its proper divisors (534289087376).

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

312346540000 is a wasteful number, since it uses less digits than its factorization.

312346540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14199 (or 14176 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 312346540000 in words is "three hundred twelve billion, three hundred forty-six million, five hundred forty thousand".