21222321120000 has 2160 divisors, whose sum is σ = 102669243925248. Its totient is φ = 4070338560000.

The previous prime is 21222321119977. The next prime is 21222321120089. The reversal of 21222321120000 is 2112322212.

21222321120000 is a `hidden beast` number, since 2 + 1 + 222 + 321 + 120 + 0 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1441432639 + ... + 1441447361.

Almost surely, 2^{21222321120000} is an apocalyptic number.

21222321120000 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 21222321120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51334621962624).

21222321120000 is an abundant number, since it is smaller than the sum of its proper divisors (81446922805248).

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

21222321120000 is a wasteful number, since it uses less digits than its factorization.

21222321120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14796 (or 14764 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21222321120000 its reverse (2112322212), we get a palindrome (21224433442212).

The spelling of 21222321120000 in words is "twenty-one trillion, two hundred twenty-two billion, three hundred twenty-one million, one hundred twenty thousand".