21222366510000 has 400 divisors, whose sum is σ = 69155913024000. Its totient is φ = 5606036352000.

The previous prime is 21222366509957. The next prime is 21222366510031. The reversal of 21222366510000 is 1566322212.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 21222366510000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1694123737 + ... + 1694136263.

It is an arithmetic number, because the mean of its divisors is an integer number (172889782560).

Almost surely, 2^{21222366510000} is an apocalyptic number.

21222366510000 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 21222366510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34577956512000).

21222366510000 is an abundant number, since it is smaller than the sum of its proper divisors (47933546514000).

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

21222366510000 is a wasteful number, since it uses less digits than its factorization.

21222366510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13086 (or 13065 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 21222366510000 in words is "twenty-one trillion, two hundred twenty-two billion, three hundred sixty-six million, five hundred ten thousand".