22120654627600 has 135 divisors (see below), whose sum is σ = 56093719115487. Its totient is φ = 8381886589440.

The previous prime is 22120654627579. The next prime is 22120654627633. The reversal of 22120654627600 is 672645602122.

The square root of 22120654627600 is 4703260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6691596323344 + 15429058304256 = 2586812^2 + 3927984^2 .

It is a super-2 number, since 2×22120654627600² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1787232612 + ... + 1787244988.

Almost surely, 2^{22120654627600} is an apocalyptic number.

22120654627600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22120654627600 is the 4703260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120654627600

22120654627600 is an abundant number, since it is smaller than the sum of its proper divisors (33973064487887).

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

22120654627600 is an frugal number, since it uses more digits than its factorization.

22120654627600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24810 (or 12403 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 22120654627600 in words is "twenty-two trillion, one hundred twenty billion, six hundred fifty-four million, six hundred twenty-seven thousand, six hundred".