312433342233420 has 96 divisors (see below), whose sum is σ = 893545958688768. Its totient is φ = 81531975151872.

The previous prime is 312433342233349. The next prime is 312433342233433. The reversal of 312433342233420 is 24332243334213.

It is a super-2 number, since 2×312433342233420² (a number of 30 digits) contains 22 as substring.

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, 13676289 + ... + 28493991.

It is an arithmetic number, because the mean of its divisors is an integer number (9307770403008).

Almost surely, 2^{312433342233420} is an apocalyptic number.

312433342233420 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 312433342233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446772979344384).

312433342233420 is an abundant number, since it is smaller than the sum of its proper divisors (581112616455348).

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

312433342233420 is a wasteful number, since it uses less digits than its factorization.

312433342233420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14825239 (or 14825237 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 39.

Adding to 312433342233420 its reverse (24332243334213), we get a palindrome (336765585567633).

The spelling of 312433342233420 in words is "three hundred twelve trillion, four hundred thirty-three billion, three hundred forty-two million, two hundred thirty-three thousand, four hundred twenty".