312330200120232 has 128 divisors (see below), whose sum is σ = 899418704025600. Its totient is φ = 88534254751488.

The previous prime is 312330200120179. The next prime is 312330200120347. The reversal of 312330200120232 is 232021002033213.

It is a super-3 number, since 3×312330200120232³ (a number of 44 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8397373 + ... + 26366195.

It is an arithmetic number, because the mean of its divisors is an integer number (7026708625200).

Almost surely, 2^{312330200120232} 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 312330200120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449709352012800).

312330200120232 is an abundant number, since it is smaller than the sum of its proper divisors (587088503905368).

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

312330200120232 is a wasteful number, since it uses less digits than its factorization.

312330200120232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17969655 (or 17969651 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 312330200120232 its reverse (232021002033213), we get a palindrome (544351202153445).

The spelling of 312330200120232 in words is "three hundred twelve trillion, three hundred thirty billion, two hundred million, one hundred twenty thousand, two hundred thirty-two".