22431200441200 has 120 divisors (see below), whose sum is σ = 56251311399936. Its totient is φ = 8579737056000.

The previous prime is 22431200441171. The next prime is 22431200441231. The reversal of 22431200441200 is 214400213422.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 29720505 + ... + 30465895.

Almost surely, 2^{22431200441200} is an apocalyptic number.

22431200441200 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 22431200441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28125655699968).

22431200441200 is an abundant number, since it is smaller than the sum of its proper divisors (33820110958736).

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

22431200441200 is a wasteful number, since it uses less digits than its factorization.

22431200441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748703 (or 748692 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22431200441200 its reverse (214400213422), we get a palindrome (22645600654622).

The spelling of 22431200441200 in words is "twenty-two trillion, four hundred thirty-one billion, two hundred million, four hundred forty-one thousand, two hundred".