22412352100224 has 128 divisors (see below), whose sum is σ = 61146153816480. Its totient is φ = 7268353966080.

The previous prime is 22412352100223. The next prime is 22412352100241. The reversal of 22412352100224 is 42200125321422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 22412352100191 and 22412352100200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22412352100223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234114192 + ... + 234209904.

Almost surely, 2^{22412352100224} is an apocalyptic number.

22412352100224 is a gapful number since it is divisible by the number (24) 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 22412352100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30573076908240).

22412352100224 is an abundant number, since it is smaller than the sum of its proper divisors (38733801716256).

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

22412352100224 is a wasteful number, since it uses less digits than its factorization.

22412352100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112248 (or 112236 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 22412352100224 its reverse (42200125321422), we get a palindrome (64612477421646).

The spelling of 22412352100224 in words is "twenty-two trillion, four hundred twelve billion, three hundred fifty-two million, one hundred thousand, two hundred twenty-four".