321315501200 has 60 divisors (see below), whose sum is σ = 772524055668. Its totient is φ = 128432371200.

The previous prime is 321315501167. The next prime is 321315501251. The reversal of 321315501200 is 2105513123.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2375197696 + 318940303504 = 48736^2 + 564748^2 .

It is a super-4 number, since 4×321315501200⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256670 + ... + 841730.

Almost surely, 2^321315501200 is an apocalyptic number.

It is an amenable number.

321315501200 is an abundant number, since it is smaller than the sum of its proper divisors (451208554468).

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

321315501200 is a wasteful number, since it uses less digits than its factorization.

321315501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586452 (or 586441 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 321315501200 in words is "three hundred twenty-one billion, three hundred fifteen million, five hundred one thousand, two hundred".