22122000300400 has 240 divisors, whose sum is σ = 71359695687168. Its totient is φ = 6364771200000.

The previous prime is 22122000300373. The next prime is 22122000300451. The reversal of 22122000300400 is 400300022122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27224476 + ... + 28025275.

Almost surely, 2^{22122000300400} is an apocalyptic number.

22122000300400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122000300400 is an abundant number, since it is smaller than the sum of its proper divisors (49237695386768).

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

22122000300400 is a wasteful number, since it uses less digits than its factorization.

22122000300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55249800 (or 55249789 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22122000300400 its reverse (400300022122), we get a palindrome (22522300322522).

The spelling of 22122000300400 in words is "twenty-two trillion, one hundred twenty-two billion, three hundred thousand, four hundred".