21312621312 has 144 divisors (see below), whose sum is σ = 58253362272. Its totient is φ = 6913392640.

The previous prime is 21312621301. The next prime is 21312621313.

21312621312 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21312621313) 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, 19427548 + ... + 19428644.

It is an arithmetic number, because the mean of its divisors is an integer number (404537238).

Almost surely, 2^21312621312 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 21312621312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29126681136).

21312621312 is an abundant number, since it is smaller than the sum of its proper divisors (36940740960).

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

21312621312 is a wasteful number, since it uses less digits than its factorization.

21312621312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1760 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The spelling of 21312621312 in words is "twenty-one billion, three hundred twelve million, six hundred twenty-one thousand, three hundred twelve".