312133223010000 has 400 divisors, whose sum is σ = 1153418464243584. Its totient is φ = 71229075456000.

The previous prime is 312133223009981. The next prime is 312133223010019. The reversal of 312133223010000 is 10322331213.

It is an interprime number because it is at equal distance from previous prime (312133223009981) and next prime (312133223010019).

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

It is a super-2 number, since 2×312133223010000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

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, 128365504 + ... + 130774496.

Almost surely, 2^{312133223010000} is an apocalyptic number.

312133223010000 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 312133223010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576709232121792).

312133223010000 is an abundant number, since it is smaller than the sum of its proper divisors (841285241233584).

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

312133223010000 is a wasteful number, since it uses less digits than its factorization.

312133223010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409648 (or 2409627 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312133223010000 its reverse (10322331213), we get a palindrome (312143545341213).

The spelling of 312133223010000 in words is "three hundred twelve trillion, one hundred thirty-three billion, two hundred twenty-three million, ten thousand".