22505022424100 has 72 divisors (see below), whose sum is σ = 50171532024768. Its totient is φ = 8755962019200.

The previous prime is 22505022424081. The next prime is 22505022424133. The reversal of 22505022424100 is 142422050522.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 10853639 + ... + 12759761.

Almost surely, 2^{22505022424100} is an apocalyptic number.

22505022424100 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 22505022424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25085766012384).

22505022424100 is an abundant number, since it is smaller than the sum of its proper divisors (27666509600668).

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

22505022424100 is a wasteful number, since it uses less digits than its factorization.

22505022424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909365 (or 1909358 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 22505022424100 its reverse (142422050522), we get a palindrome (22647444474622).

The spelling of 22505022424100 in words is "twenty-two trillion, five hundred five billion, twenty-two million, four hundred twenty-four thousand, one hundred".