21312032320032 has 192 divisors, whose sum is σ = 58169196610560. Its totient is φ = 6823987430400.

The previous prime is 21312032320031. The next prime is 21312032320069. The reversal of 21312032320032 is 23002323021312.

It is a super-2 number, since 2×21312032320032² (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 junction number, because it is equal to n+sod(n) for n = 21312032319984 and 21312032320011.

It is not an unprimeable number, because it can be changed into a prime (21312032320031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2156428563 + ... + 2156438445.

It is an arithmetic number, because the mean of its divisors is an integer number (302964565680).

Almost surely, 2^{21312032320032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21312032320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29084598305280).

21312032320032 is an abundant number, since it is smaller than the sum of its proper divisors (36857164290528).

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

21312032320032 is a wasteful number, since it uses less digits than its factorization.

21312032320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13807 (or 13799 counting only the distinct ones).

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

Adding to 21312032320032 its reverse (23002323021312), we get a palindrome (44314355341344).

The spelling of 21312032320032 in words is "twenty-one trillion, three hundred twelve billion, thirty-two million, three hundred twenty thousand, thirty-two".