21122110112000 has 72 divisors (see below), whose sum is σ = 52617816632472. Its totient is φ = 8448844032000.

The previous prime is 21122110111937. The next prime is 21122110112009. The reversal of 21122110112000 is 21101122112.

It can be written as a sum of positive squares in 4 ways, for example, as 36233883904 + 21085876228096 = 190352^2 + 4591936^2 .

It is a super-2 number, since 2×21122110112000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122110112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330000971 + ... + 330064970.

Almost surely, 2^{21122110112000} is an apocalyptic number.

21122110112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122110112000 is an abundant number, since it is smaller than the sum of its proper divisors (31495706520472).

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

21122110112000 is an frugal number, since it uses more digits than its factorization.

21122110112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660065972 (or 660065948 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21122110112000 its reverse (21101122112), we get a palindrome (21143211234112).

The spelling of 21122110112000 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred ten million, one hundred twelve thousand".