312431401230000 has 400 divisors, whose sum is σ = 1086361475248896. Its totient is φ = 76891397760000.

The previous prime is 312431401229999. The next prime is 312431401230037. The reversal of 312431401230000 is 32104134213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×312431401230000² (a number of 30 digits) contains 22 as substring.

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

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, 2100855645 + ... + 2101004355.

Almost surely, 2^{312431401230000} is an apocalyptic number.

312431401230000 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 312431401230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543180737624448).

312431401230000 is an abundant number, since it is smaller than the sum of its proper divisors (773930074018896).

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

312431401230000 is a wasteful number, since it uses less digits than its factorization.

312431401230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154142 (or 154121 counting only the distinct ones).

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

Adding to 312431401230000 its reverse (32104134213), we get a palindrome (312463505364213).

The spelling of 312431401230000 in words is "three hundred twelve trillion, four hundred thirty-one billion, four hundred one million, two hundred thirty thousand".