312412414400220 has 192 divisors, whose sum is σ = 878506387799040. Its totient is φ = 82953672763392.

The previous prime is 312412414400137. The next prime is 312412414400237. The reversal of 312412414400220 is 22004414214213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24828128049 + ... + 24828140631.

It is an arithmetic number, because the mean of its divisors is an integer number (4575554103120).

Almost surely, 2^{312412414400220} is an apocalyptic number.

312412414400220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312412414400220 is an abundant number, since it is smaller than the sum of its proper divisors (566093973398820).

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

312412414400220 is a wasteful number, since it uses less digits than its factorization.

312412414400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14924 (or 14922 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 312412414400220 its reverse (22004414214213), we get a palindrome (334416828614433).

The spelling of 312412414400220 in words is "three hundred twelve trillion, four hundred twelve billion, four hundred fourteen million, four hundred thousand, two hundred twenty".