22974297721200 has 1350 divisors, whose sum is σ = 99341832302856. Its totient is φ = 5069895183360.

The previous prime is 22974297721163. The next prime is 22974297721213. The reversal of 22974297721200 is 212779247922.

22974297721200 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 429 + 7 + 7 + 2 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1350).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 1335162997 + ... + 1335180203.

Almost surely, 2^{22974297721200} is an apocalyptic number.

22974297721200 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 22974297721200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49670916151428).

22974297721200 is an abundant number, since it is smaller than the sum of its proper divisors (76367534581656).

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

22974297721200 is a wasteful number, since it uses less digits than its factorization.

22974297721200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17309 (or 17253 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 22974297721200 in words is "twenty-two trillion, nine hundred seventy-four billion, two hundred ninety-seven million, seven hundred twenty-one thousand, two hundred".