21123202320000 has 1440 divisors, whose sum is σ = 85758315382740. Its totient is φ = 4981616640000.

The previous prime is 21123202319971. The next prime is 21123202320041. The reversal of 21123202320000 is 2320232112.

21123202320000 is a `hidden beast` number, since 2 + 112 + 320 + 232 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 401114488896 + 20722087831104 = 633336^2 + 4552152^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3223436724 + ... + 3223443276.

Almost surely, 2^{21123202320000} is an apocalyptic number.

21123202320000 is a gapful number since it is divisible by the number (20) 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 21123202320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42879157691370).

21123202320000 is an abundant number, since it is smaller than the sum of its proper divisors (64635113062740).

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

21123202320000 is a wasteful number, since it uses less digits than its factorization.

21123202320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21123202320000 its reverse (2320232112), we get a palindrome (21125522552112).

The spelling of 21123202320000 in words is "twenty-one trillion, one hundred twenty-three billion, two hundred two million, three hundred twenty thousand".