21312211221312 has 56 divisors (see below), whose sum is σ = 61514791485792. Its totient is φ = 6458245824000.

The previous prime is 21312211221283. The next prime is 21312211221313.

21312211221312 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312211221313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5045502439 + ... + 5045506662.

Almost surely, 2^{21312211221312} is an apocalyptic number.

21312211221312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21312211221312 is an abundant number, since it is smaller than the sum of its proper divisors (40202580264480).

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

21312211221312 is a wasteful number, since it uses less digits than its factorization.

21312211221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10091009127 (or 10091009117 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

21312211221312 divided by its sum of digits (24) gives a palindrome (888008800888).

It can be divided in two parts, 2131221 and 1221312, that added together give a palindrome (3352533).

The spelling of 21312211221312 in words is "twenty-one trillion, three hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, three hundred twelve".