312213132330000 has 200 divisors, whose sum is σ = 1099489767975456. Its totient is φ = 75688032000000.

The previous prime is 312213132329971. The next prime is 312213132330023. The reversal of 312213132330000 is 33231312213.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-4 number, since 4×312213132330000⁴ (a number of 59 digits) contains 4444 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 39 ways as a sum of consecutive naturals, for example, 472720201 + ... + 473380200.

Almost surely, 2^{312213132330000} is an apocalyptic number.

312213132330000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312213132330000 is an abundant number, since it is smaller than the sum of its proper divisors (787276635645456).

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

312213132330000 is a wasteful number, since it uses less digits than its factorization.

312213132330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946100443 (or 946100422 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 312213132330000 its reverse (33231312213), we get a palindrome (312246363642213).

The spelling of 312213132330000 in words is "three hundred twelve trillion, two hundred thirteen billion, one hundred thirty-two million, three hundred thirty thousand".