22505130433200 has 120 divisors (see below), whose sum is σ = 72489730405456. Its totient is φ = 5968211328000.

The previous prime is 22505130433199. The next prime is 22505130433213. The reversal of 22505130433200 is 233403150522.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 51590191 + ... + 52024590.

Almost surely, 2^{22505130433200} is an apocalyptic number.

22505130433200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22505130433200 is an abundant number, since it is smaller than the sum of its proper divisors (49984599972256).

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

22505130433200 is a wasteful number, since it uses less digits than its factorization.

22505130433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103614983 (or 103614972 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 22505130433200 its reverse (233403150522), we get a palindrome (22738533583722).

The spelling of 22505130433200 in words is "twenty-two trillion, five hundred five billion, one hundred thirty million, four hundred thirty-three thousand, two hundred".