22242660912000 has 1536 divisors, whose sum is σ = 85276766615040. Its totient is φ = 5758470144000.

The previous prime is 22242660911987. The next prime is 22242660912007. The reversal of 22242660912000 is 21906624222.

It is a happy number.

22242660912000 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 26 + 609 + 1 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22242660912007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38953871715 + ... + 38953872285.

It is an arithmetic number, because the mean of its divisors is an integer number (55518728265).

Almost surely, 2^{22242660912000} is an apocalyptic number.

22242660912000 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 22242660912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42638383307520).

22242660912000 is an abundant number, since it is smaller than the sum of its proper divisors (63034105703040).

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

22242660912000 is an equidigital number, since it uses as much as digits as its factorization.

22242660912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 22242660912000 in words is "twenty-two trillion, two hundred forty-two billion, six hundred sixty million, nine hundred twelve thousand".