12415202400 has 144 divisors (see below), whose sum is σ = 41715330048. Its totient is φ = 3203904000.

The previous prime is 12415202389. The next prime is 12415202411. The reversal of 12415202400 is 420251421.

It is an interprime number because it is at equal distance from previous prime (12415202389) and next prime (12415202411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9036 + ... + 157835.

It is an arithmetic number, because the mean of its divisors is an integer number (289689792).

Almost surely, 2^12415202400 is an apocalyptic number.

12415202400 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 12415202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20857665024).

12415202400 is an abundant number, since it is smaller than the sum of its proper divisors (29300127648).

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

12415202400 is a wasteful number, since it uses less digits than its factorization.

12415202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166925 (or 166912 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 12415202400 its reverse (420251421), we get a palindrome (12835453821).

The spelling of 12415202400 in words is "twelve billion, four hundred fifteen million, two hundred two thousand, four hundred".