312240152000000 has 420 divisors, whose sum is σ = 907148104215012. Its totient is φ = 107053632000000.

The previous prime is 312240151999943. The next prime is 312240152000041. The reversal of 312240152000000 is 251042213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 391601735 + ... + 392398265.

Almost surely, 2^{312240152000000} 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 312240152000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453574052107506).

312240152000000 is an abundant number, since it is smaller than the sum of its proper divisors (594907952215012).

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

312240152000000 is an frugal number, since it uses more digits than its factorization.

312240152000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796593 (or 796545 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 312240152000000 in words is "three hundred twelve trillion, two hundred forty billion, one hundred fifty-two million", and thus it is an aban number.