12414000200 has 144 divisors (see below), whose sum is σ = 33549459840. Its totient is φ = 4184697600.

The previous prime is 12414000199. The next prime is 12414000223. The reversal of 12414000200 is 200041421.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5208209 + ... + 5210591.

It is an arithmetic number, because the mean of its divisors is an integer number (232982360).

Almost surely, 2^12414000200 is an apocalyptic number.

12414000200 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 12414000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16774729920).

12414000200 is an abundant number, since it is smaller than the sum of its proper divisors (21135459640).

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

12414000200 is a wasteful number, since it uses less digits than its factorization.

12414000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12414000200 its reverse (200041421), we get a palindrome (12614041621).

The spelling of 12414000200 in words is "twelve billion, four hundred fourteen million, two hundred", and thus it is an aban number.