312321322110000 has 400 divisors, whose sum is σ = 1152312009922304. Its totient is φ = 71383614336000.

The previous prime is 312321322109959. The next prime is 312321322110089. The reversal of 312321322110000 is 11223123213.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5067899187 + ... + 5067960813.

Almost surely, 2^{312321322110000} is an apocalyptic number.

312321322110000 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 312321322110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576156004961152).

312321322110000 is an abundant number, since it is smaller than the sum of its proper divisors (839990687812304).

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

312321322110000 is a wasteful number, since it uses less digits than its factorization.

312321322110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85798 (or 85777 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312321322110000 its reverse (11223123213), we get a palindrome (312332545233213).

The spelling of 312321322110000 in words is "three hundred twelve trillion, three hundred twenty-one billion, three hundred twenty-two million, one hundred ten thousand".