21312222221312 has 352 divisors, whose sum is σ = 48550411929600. Its totient is φ = 9262116864000.

The previous prime is 21312222221309. The next prime is 21312222221363.

21312222221312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24810502739 + ... + 24810503597.

Almost surely, 2^{21312222221312} is an apocalyptic number.

21312222221312 is a gapful number since it is divisible by the number (22) 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 21312222221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24275205964800).

21312222221312 is an abundant number, since it is smaller than the sum of its proper divisors (27238189708288).

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

21312222221312 is a wasteful number, since it uses less digits than its factorization.

21312222221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1555 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 2131222 and 2221312, that added together give a palindrome (4352534).

The spelling of 21312222221312 in words is "twenty-one trillion, three hundred twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, three hundred twelve".