12104400400 has 45 divisors (see below), whose sum is σ = 29086109383. Its totient is φ = 4840880000.

The previous prime is 12104400397. The next prime is 12104400403. The reversal of 12104400400 is 400440121.

The square root of 12104400400 is 110020.

It is a perfect power (a square), and thus also a powerful number.

12104400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12104400397) and next prime (12104400403).

It can be written as a sum of positive squares in 4 ways, for example, as 2869959184 + 9234441216 = 53572^2 + 96096^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12104400403) 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 8 ways as a sum of consecutive naturals, for example, 2197650 + ... + 2203150.

Almost surely, 2^12104400400 is an apocalyptic number.

12104400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12104400400 is the 110020-th square number.

It is an amenable number.

12104400400 is an abundant number, since it is smaller than the sum of its proper divisors (16981708983).

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

12104400400 is an frugal number, since it uses more digits than its factorization.

12104400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11020 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 12104400400 by its sum of digits (16), we get a square (193670406400 = 440080²).

12104400400 divided by its sum of digits (16) gives a square (756525025 = 27505²).

Adding to 12104400400 its reverse (400440121), we get a palindrome (12504840521).

The spelling of 12104400400 in words is "twelve billion, one hundred four million, four hundred thousand, four hundred".