12006418400 has 36 divisors (see below), whose sum is σ = 29310670872. Its totient is φ = 4802567040.

The previous prime is 12006418399. The next prime is 12006418477. The reversal of 12006418400 is 481460021.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12006418400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7503212 + ... + 7504811.

It is an arithmetic number, because the mean of its divisors is an integer number (814185302).

Almost surely, 2^12006418400 is an apocalyptic number.

12006418400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12006418400 is an abundant number, since it is smaller than the sum of its proper divisors (17304252472).

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

12006418400 is a wasteful number, since it uses less digits than its factorization.

12006418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15008043 (or 15008030 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 12006418400 its reverse (481460021), we get a palindrome (12487878421).

The spelling of 12006418400 in words is "twelve billion, six million, four hundred eighteen thousand, four hundred".