312122112313200 has 360 divisors, whose sum is σ = 1163100847495680. Its totient is φ = 71340237964800.

The previous prime is 312122112313163. The next prime is 312122112313213. The reversal of 312122112313200 is 2313211221213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4167647755 + ... + 4167722645.

It is an arithmetic number, because the mean of its divisors is an integer number (3230835687488).

Almost surely, 2^{312122112313200} is an apocalyptic number.

312122112313200 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 312122112313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581550423747840).

312122112313200 is an abundant number, since it is smaller than the sum of its proper divisors (850978735182480).

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

312122112313200 is a wasteful number, since it uses less digits than its factorization.

312122112313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145805 (or 145787 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 312122112313200 its reverse (2313211221213), we get a palindrome (314435323534413).

The spelling of 312122112313200 in words is "three hundred twelve trillion, one hundred twenty-two billion, one hundred twelve million, three hundred thirteen thousand, two hundred".