312132120023020 has 96 divisors (see below), whose sum is σ = 730746563420160. Its totient is φ = 111016742711040.

The previous prime is 312132120022979. The next prime is 312132120023063. The reversal of 312132120023020 is 20320021231213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 312132120022982 and 312132120023000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6570726 + ... + 25834834.

It is an arithmetic number, because the mean of its divisors is an integer number (7611943368960).

Almost surely, 2^{312132120023020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312132120023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365373281710080).

312132120023020 is an abundant number, since it is smaller than the sum of its proper divisors (418614443397140).

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

312132120023020 is a wasteful number, since it uses less digits than its factorization.

312132120023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19265743 (or 19265741 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 312132120023020 its reverse (20320021231213), we get a palindrome (332452141254233).

The spelling of 312132120023020 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred twenty million, twenty-three thousand, twenty".