12053104400 has 60 divisors (see below), whose sum is σ = 29064699264. Its totient is φ = 4803408000.

The previous prime is 12053104373. The next prime is 12053104409. The reversal of 12053104400 is 440135021.

12053104400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12053104409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52805 + ... + 163995.

Almost surely, 2^12053104400 is an apocalyptic number.

12053104400 is a gapful number since it is divisible by the number (10) 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 12053104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532349632).

12053104400 is an abundant number, since it is smaller than the sum of its proper divisors (17011594864).

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

12053104400 is a wasteful number, since it uses less digits than its factorization.

12053104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111480 (or 111469 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12053104400 its reverse (440135021), we get a palindrome (12493239421).

The spelling of 12053104400 in words is "twelve billion, fifty-three million, one hundred four thousand, four hundred".