12102400204400 has 120 divisors (see below), whose sum is σ = 31981435022928. Its totient is φ = 4400872608000.

The previous prime is 12102400204393. The next prime is 12102400204421. The reversal of 12102400204400 is 440200420121.

12102400204400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12102400204400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 10833491 + ... + 11898290.

Almost surely, 2^{12102400204400} is an apocalyptic number.

12102400204400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102400204400 is an abundant number, since it is smaller than the sum of its proper divisors (19879034818528).

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

12102400204400 is a wasteful number, since it uses less digits than its factorization.

12102400204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22731832 (or 22731799 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12102400204400 its reverse (440200420121), we get a palindrome (12542600624521).

The spelling of 12102400204400 in words is "twelve trillion, one hundred two billion, four hundred million, two hundred four thousand, four hundred".