312404334143220 has 288 divisors, whose sum is σ = 1034731399718016. Its totient is φ = 75664293350400.

The previous prime is 312404334143189. The next prime is 312404334143227. The reversal of 312404334143220 is 22341433404213.

312404334143220 is a `hidden beast` number, since 3 + 1 + 240 + 43 + 341 + 4 + 32 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312404334143227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19788700167 + ... + 19788715953.

It is an arithmetic number, because the mean of its divisors is an integer number (3592817360132).

Almost surely, 2^{312404334143220} is an apocalyptic number.

312404334143220 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 312404334143220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517365699859008).

312404334143220 is an abundant number, since it is smaller than the sum of its proper divisors (722327065574796).

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

312404334143220 is a wasteful number, since it uses less digits than its factorization.

312404334143220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24431 (or 24426 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 312404334143220 its reverse (22341433404213), we get a palindrome (334745767547433).

The spelling of 312404334143220 in words is "three hundred twelve trillion, four hundred four billion, three hundred thirty-four million, one hundred forty-three thousand, two hundred twenty".