22122103344400 has 120 divisors (see below), whose sum is σ = 53317630205000. Its totient is φ = 8820674150400.

The previous prime is 22122103344373. The next prime is 22122103344421. The reversal of 22122103344400 is 444330122122.

It can be written as a sum of positive squares in 12 ways, for example, as 8139768768784 + 13982334575616 = 2853028^2 + 3739296^2 .

It is a super-2 number, since 2×22122103344400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469172026 + ... + 469219174.

Almost surely, 2^{22122103344400} is an apocalyptic number.

22122103344400 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 22122103344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658815102500).

22122103344400 is an abundant number, since it is smaller than the sum of its proper divisors (31195526860600).

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

22122103344400 is a wasteful number, since it uses less digits than its factorization.

22122103344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50877 (or 50866 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22122103344400 its reverse (444330122122), we get a palindrome (22566433466522).

The spelling of 22122103344400 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred three million, three hundred forty-four thousand, four hundred".