22181234779200 has 504 divisors, whose sum is σ = 87573368160000. Its totient is φ = 4895167549440.

The previous prime is 22181234779181. The next prime is 22181234779213. The reversal of 22181234779200 is 297743218122.

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 22181234779200.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5194801 + ... + 8446799.

Almost surely, 2^{22181234779200} is an apocalyptic number.

22181234779200 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 22181234779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43786684080000).

22181234779200 is an abundant number, since it is smaller than the sum of its proper divisors (65392133380800).

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

22181234779200 is a wasteful number, since it uses less digits than its factorization.

22181234779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252067 (or 3252045 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 22181234779200 in words is "twenty-two trillion, one hundred eighty-one billion, two hundred thirty-four million, seven hundred seventy-nine thousand, two hundred".