312021000000 has 588 divisors, whose sum is σ = 1149365053564. Its totient is φ = 80870400000.

The previous prime is 312020999993. The next prime is 312021000079. The reversal of 312021000000 is 120213.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 246738705984 + 65282294016 = 496728^2 + 255504^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 332999532 + ... + 333000468.

Almost surely, 2^312021000000 is an apocalyptic number.

312021000000 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 312021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574682526782).

312021000000 is an abundant number, since it is smaller than the sum of its proper divisors (837344053564).

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

312021000000 is an frugal number, since it uses more digits than its factorization.

312021000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 312021000000 its reverse (120213), we get a palindrome (312021120213).

The spelling of 312021000000 in words is "three hundred twelve billion, twenty-one million", and thus it is an aban number.