312403314120000 has 560 divisors, whose sum is σ = 1050018897696384. Its totient is φ = 81936000000000.

The previous prime is 312403314119983. The next prime is 312403314120031. The reversal of 312403314120000 is 21413304213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1830034650 + ... + 1830205350.

Almost surely, 2^{312403314120000} is an apocalyptic number.

312403314120000 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 312403314120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525009448848192).

312403314120000 is an abundant number, since it is smaller than the sum of its proper divisors (737615583576384).

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

312403314120000 is a wasteful number, since it uses less digits than its factorization.

312403314120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170988 (or 170963 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312403314120000 its reverse (21413304213), we get a palindrome (312424727424213).

The spelling of 312403314120000 in words is "three hundred twelve trillion, four hundred three billion, three hundred fourteen million, one hundred twenty thousand".