21312332020320 has 768 divisors, whose sum is σ = 78291653207040. Its totient is φ = 4819046400000.

The previous prime is 21312332020307. The next prime is 21312332020333. The reversal of 21312332020320 is 2302023321312.

It is an interprime number because it is at equal distance from previous prime (21312332020307) and next prime (21312332020333).

It is a super-2 number, since 2×21312332020320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1833944110 + ... + 1833955730.

It is an arithmetic number, because the mean of its divisors is an integer number (101942256780).

Almost surely, 2^{21312332020320} is an apocalyptic number.

21312332020320 is a gapful number since it is divisible by the number (20) 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 21312332020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39145826603520).

21312332020320 is an abundant number, since it is smaller than the sum of its proper divisors (56979321186720).

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

21312332020320 is a wasteful number, since it uses less digits than its factorization.

21312332020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11951 (or 11943 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 21312332020320 its reverse (2302023321312), we get a palindrome (23614355341632).

The spelling of 21312332020320 in words is "twenty-one trillion, three hundred twelve billion, three hundred thirty-two million, twenty thousand, three hundred twenty".