22126011969600 has 3024 divisors, whose sum is σ = 105215112278016. Its totient is φ = 4444263936000.

The previous prime is 22126011969583. The next prime is 22126011969641. The reversal of 22126011969600 is 696911062122.

22126011969600 is a `hidden beast` number, since 2 + 2 + 1 + 26 + 0 + 1 + 19 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 431 ways as a sum of consecutive naturals, for example, 25057770759 + ... + 25057771641.

Almost surely, 2^{22126011969600} is an apocalyptic number.

22126011969600 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 22126011969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52607556139008).

22126011969600 is an abundant number, since it is smaller than the sum of its proper divisors (83089100308416).

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

22126011969600 is an equidigital number, since it uses as much as digits as its factorization.

22126011969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 22126011969600 in words is "twenty-two trillion, one hundred twenty-six billion, eleven million, nine hundred sixty-nine thousand, six hundred".