12004122400 has 36 divisors (see below), whose sum is σ = 29305065762. Its totient is φ = 4801648640.

The previous prime is 12004122379. The next prime is 12004122401. The reversal of 12004122400 is 422140021.

It can be written as a sum of positive squares in 3 ways, for example, as 11656225296 + 347897104 = 107964^2 + 18652^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12004122401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7501777 + ... + 7503376.

Almost surely, 2^12004122400 is an apocalyptic number.

12004122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12004122400 is an abundant number, since it is smaller than the sum of its proper divisors (17300943362).

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

12004122400 is a wasteful number, since it uses less digits than its factorization.

12004122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15005173 (or 15005160 counting only the distinct ones).

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

Adding to 12004122400 its reverse (422140021), we get a palindrome (12426262421).

The spelling of 12004122400 in words is "twelve billion, four million, one hundred twenty-two thousand, four hundred".