21112090000 has 75 divisors (see below), whose sum is σ = 51149683893. Its totient is φ = 8439024000.

The previous prime is 21112089997. The next prime is 21112090091. The reversal of 21112090000 is 9021112.

The square root of 21112090000 is 145300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3852436624 + 17259653376 = 62068^2 + 131376^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14529274 + ... + 14530726.

Almost surely, 2^21112090000 is an apocalyptic number.

21112090000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21112090000 is the 145300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112090000

21112090000 is an abundant number, since it is smaller than the sum of its proper divisors (30037593893).

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

21112090000 is an frugal number, since it uses more digits than its factorization.

21112090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Multiplying 21112090000 by its sum of digits (16), we get a square (337793440000 = 581200²).

21112090000 divided by its sum of digits (16) gives a square (1319505625 = 36325²).

Multiplying 21112090000 by its product of nonzero digits (36), we get a square (760035240000 = 871800²).

The spelling of 21112090000 in words is "twenty-one billion, one hundred twelve million, ninety thousand".