21122323320000 has 560 divisors, whose sum is σ = 81164737969920. Its totient is φ = 4746118656000.

The previous prime is 21122323319957. The next prime is 21122323320029. The reversal of 21122323320000 is 2332322112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 49346902 + ... + 49773098.

Almost surely, 2^{21122323320000} is an apocalyptic number.

21122323320000 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 21122323320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40582368984960).

21122323320000 is an abundant number, since it is smaller than the sum of its proper divisors (60042414649920).

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

21122323320000 is an equidigital number, since it uses as much as digits as its factorization.

21122323320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426298 (or 426273 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21122323320000 its reverse (2332322112), we get a palindrome (21124655642112).

The spelling of 21122323320000 in words is "twenty-one trillion, one hundred twenty-two billion, three hundred twenty-three million, three hundred twenty thousand".