22120917504 has 480 divisors, whose sum is σ = 74638080000. Its totient is φ = 5782855680.

The previous prime is 22120917499. The next prime is 22120917517. The reversal of 22120917504 is 40571902122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44330247 + ... + 44330745.

It is an arithmetic number, because the mean of its divisors is an integer number (155496000).

Almost surely, 2^22120917504 is an apocalyptic number.

22120917504 is a gapful number since it is divisible by the number (24) 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 22120917504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37319040000).

22120917504 is an abundant number, since it is smaller than the sum of its proper divisors (52517162496).

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

22120917504 is a wasteful number, since it uses less digits than its factorization.

22120917504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 22120917504 in words is "twenty-two billion, one hundred twenty million, nine hundred seventeen thousand, five hundred four".