22012144400 has 60 divisors (see below), whose sum is σ = 52907374500. Its totient is φ = 8800995840.

The previous prime is 22012144393. The next prime is 22012144433. The reversal of 22012144400 is 444121022.

It can be written as a sum of positive squares in 6 ways, for example, as 213393664 + 21798750736 = 14608^2 + 147644^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1008806 + ... + 1030394.

It is an arithmetic number, because the mean of its divisors is an integer number (881789575).

Almost surely, 2^22012144400 is an apocalyptic number.

22012144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012144400 is an abundant number, since it is smaller than the sum of its proper divisors (30895230100).

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

22012144400 is a wasteful number, since it uses less digits than its factorization.

22012144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24156 (or 24145 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22012144400 its reverse (444121022), we get a palindrome (22456265422).

The spelling of 22012144400 in words is "twenty-two billion, twelve million, one hundred forty-four thousand, four hundred".