312423424232000 has 224 divisors, whose sum is σ = 781089849637344. Its totient is φ = 123779948544000.

The previous prime is 312423424231957. The next prime is 312423424232081. The reversal of 312423424232000 is 232424324213.

It can be written as a sum of positive squares in 16 ways, for example, as 226449286325824 + 85974137906176 = 15048232^2 + 9272224^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349556260 + ... + 1349787740.

Almost surely, 2^{312423424232000} 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 312423424232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390544924818672).

312423424232000 is an abundant number, since it is smaller than the sum of its proper divisors (468666425405344).

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

312423424232000 is a wasteful number, since it uses less digits than its factorization.

312423424232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233114 (or 233094 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 312423424232000 its reverse (232424324213), we get a palindrome (312655848556213).

The spelling of 312423424232000 in words is "three hundred twelve trillion, four hundred twenty-three billion, four hundred twenty-four million, two hundred thirty-two thousand".