312021113322040 has 128 divisors (see below), whose sum is σ = 716250075609600. Its totient is φ = 122303937000960.

The previous prime is 312021113321999. The next prime is 312021113322089. The reversal of 312021113322040 is 40223311120213.

It is a junction number, because it is equal to n+sod(n) for n = 312021113321996 and 312021113322014.

It is a congruent number.

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, 718449037 + ... + 718883203.

It is an arithmetic number, because the mean of its divisors is an integer number (5595703715700).

Almost surely, 2^{312021113322040} 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 312021113322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358125037804800).

312021113322040 is an abundant number, since it is smaller than the sum of its proper divisors (404228962287560).

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

312021113322040 is a wasteful number, since it uses less digits than its factorization.

312021113322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435645 (or 435641 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 312021113322040 its reverse (40223311120213), we get a palindrome (352244424442253).

The spelling of 312021113322040 in words is "three hundred twelve trillion, twenty-one billion, one hundred thirteen million, three hundred twenty-two thousand, forty".