321124372992 has 200 divisors, whose sum is σ = 959255368236. Its totient is φ = 106953965568.

The previous prime is 321124372951. The next prime is 321124372993. The reversal of 321124372992 is 299273421123.

It is a happy number.

321124372992 is a `hidden beast` number, since 321 + 1 + 2 + 4 + 37 + 299 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 308798044416 + 12326328576 = 555696^2 + 111024^2 .

It is not an unprimeable number, because it can be changed into a prime (321124372993) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68716768 + ... + 68721440.

Almost surely, 2^321124372992 is an apocalyptic number.

321124372992 is a gapful number since it is divisible by the number (32) 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 321124372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479627684118).

321124372992 is an abundant number, since it is smaller than the sum of its proper divisors (638130995244).

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

321124372992 is an equidigital number, since it uses as much as digits as its factorization.

321124372992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6360 (or 6335 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 321124372992 in words is "three hundred twenty-one billion, one hundred twenty-four million, three hundred seventy-two thousand, nine hundred ninety-two".