312332222401020 has 144 divisors (see below), whose sum is σ = 949674378324672. Its totient is φ = 83089408389120.

The previous prime is 312332222401019. The next prime is 312332222401027. The reversal of 312332222401020 is 20104222233213.

312332222401020 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 32 + 222 + 401 + 0 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312332222401027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374071729 + ... + 374905751.

It is an arithmetic number, because the mean of its divisors is an integer number (6594960960588).

Almost surely, 2^{312332222401020} is an apocalyptic number.

312332222401020 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 312332222401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474837189162336).

312332222401020 is an abundant number, since it is smaller than the sum of its proper divisors (637342155923652).

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

312332222401020 is a wasteful number, since it uses less digits than its factorization.

312332222401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839012 (or 839007 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 312332222401020 its reverse (20104222233213), we get a palindrome (332436444634233).

The spelling of 312332222401020 in words is "three hundred twelve trillion, three hundred thirty-two billion, two hundred twenty-two million, four hundred one thousand, twenty".