22224664197120 has 2304 divisors, whose sum is σ = 93962347315200. Its totient is φ = 4383984844800.

The previous prime is 22224664197023. The next prime is 22224664197143. The reversal of 22224664197120 is 2179146642222.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22224664197120.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 47590287127 + ... + 47590287593.

It is an arithmetic number, because the mean of its divisors is an integer number (40782268800).

Almost surely, 2^{22224664197120} is an apocalyptic number.

22224664197120 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 22224664197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46981173657600).

22224664197120 is an abundant number, since it is smaller than the sum of its proper divisors (71737683118080).

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

22224664197120 is a wasteful number, since it uses less digits than its factorization.

22224664197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 22224664197120 in words is "twenty-two trillion, two hundred twenty-four billion, six hundred sixty-four million, one hundred ninety-seven thousand, one hundred twenty".