12415091203200 has 768 divisors, whose sum is σ = 49230063360000. Its totient is φ = 2686390272000.

The previous prime is 12415091203189. The next prime is 12415091203237. The reversal of 12415091203200 is 230219051421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2299514101 + ... + 2299519499.

It is an arithmetic number, because the mean of its divisors is an integer number (64101645000).

Almost surely, 2^{12415091203200} is an apocalyptic number.

12415091203200 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 12415091203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24615031680000).

12415091203200 is an abundant number, since it is smaller than the sum of its proper divisors (36814972156800).

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

12415091203200 is a wasteful number, since it uses less digits than its factorization.

12415091203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 12415091203200 in words is "twelve trillion, four hundred fifteen billion, ninety-one million, two hundred three thousand, two hundred".