12414202400 has 72 divisors (see below), whose sum is σ = 32088922740. Its totient is φ = 4673576960.

The previous prime is 12414202399. The next prime is 12414202403. The reversal of 12414202400 is 420241421.

It can be written as a sum of positive squares in 6 ways, for example, as 10385240464 + 2028961936 = 101908^2 + 45044^2 .

It is a super-2 number, since 2×12414202400² (a number of 21 digits) contains 22 as substring.

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 (12414202403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442805 + ... + 470004.

Almost surely, 2^12414202400 is an apocalyptic number.

12414202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414202400 is an abundant number, since it is smaller than the sum of its proper divisors (19674720340).

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

12414202400 is a wasteful number, since it uses less digits than its factorization.

12414202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912846 (or 912833 counting only the distinct ones).

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

Adding to 12414202400 its reverse (420241421), we get a palindrome (12834443821).

The spelling of 12414202400 in words is "twelve billion, four hundred fourteen million, two hundred two thousand, four hundred".