22612137800 has 252 divisors, whose sum is σ = 63377733465. Its totient is φ = 7502644800.

The previous prime is 22612137799. The next prime is 22612137811. The reversal of 22612137800 is 873121622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 22159895044 + 452242756 = 148862^2 + 21266^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106330.

It is a super-2 number, since 2×22612137800² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 729423785 + ... + 729423815.

Almost surely, 2^22612137800 is an apocalyptic number.

22612137800 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 22612137800

22612137800 is an abundant number, since it is smaller than the sum of its proper divisors (40765595665).

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

22612137800 is an frugal number, since it uses more digits than its factorization.

22612137800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

Multiplying 22612137800 by its sum of digits (32), we get a square (723588409600 = 850640²).

The spelling of 22612137800 in words is "twenty-two billion, six hundred twelve million, one hundred thirty-seven thousand, eight hundred".