21722011022712 has 128 divisors (see below), whose sum is σ = 72913044072960. Its totient is φ = 5208074565120.

The previous prime is 21722011022689. The next prime is 21722011022713.

21722011022712 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 21722011022712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21722011022713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452065783 + ... + 452113830.

It is an arithmetic number, because the mean of its divisors is an integer number (569633156820).

Almost surely, 2^{21722011022712} is an apocalyptic number.

21722011022712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21722011022712 is an abundant number, since it is smaller than the sum of its proper divisors (51191033050248).

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

21722011022712 is a wasteful number, since it uses less digits than its factorization.

21722011022712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904179653 (or 904179649 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

It can be divided in two parts, 2172201 and 1022712, that added together give a palindrome (3194913).

The spelling of 21722011022712 in words is "twenty-one trillion, seven hundred twenty-two billion, eleven million, twenty-two thousand, seven hundred twelve".