22122500400 has 1080 divisors, whose sum is σ = 105037745904. Its totient is φ = 4238438400.

The previous prime is 22122500377. The next prime is 22122500417. The reversal of 22122500400 is 400522122.

22122500400 is a `hidden beast` number, since 2 + 2 + 12 + 250 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25224762 + ... + 25225638.

Almost surely, 2^22122500400 is an apocalyptic number.

22122500400 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 22122500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52518872952).

22122500400 is an abundant number, since it is smaller than the sum of its proper divisors (82915245504).

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

22122500400 is a wasteful number, since it uses less digits than its factorization.

22122500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The spelling of 22122500400 in words is "twenty-two billion, one hundred twenty-two million, five hundred thousand, four hundred".