321520149312 has 112 divisors (see below), whose sum is σ = 856889116800. Its totient is φ = 106393190400.

The previous prime is 321520149287. The next prime is 321520149319. The reversal of 321520149312 is 213941025123.

It is a super-2 number, since 2×321520149312² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321520149319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61721364 + ... + 61726572.

Almost surely, 2^321520149312 is an apocalyptic number.

321520149312 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 321520149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428444558400).

321520149312 is an abundant number, since it is smaller than the sum of its proper divisors (535368967488).

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

321520149312 is a wasteful number, since it uses less digits than its factorization.

321520149312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7504 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 321520149312 in words is "three hundred twenty-one billion, five hundred twenty million, one hundred forty-nine thousand, three hundred twelve".