13412599200 has 864 divisors, whose sum is σ = 63536683392. Its totient is φ = 2571264000.

The previous prime is 13412599139. The next prime is 13412599217. The reversal of 13412599200 is 299521431.

13412599200 is a `hidden beast` number, since 1 + 3 + 41 + 2 + 599 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7206270 + ... + 7208130.

It is an arithmetic number, because the mean of its divisors is an integer number (73537828).

Almost surely, 2^13412599200 is an apocalyptic number.

13412599200 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 13412599200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31768341696).

13412599200 is an abundant number, since it is smaller than the sum of its proper divisors (50124084192).

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

13412599200 is a wasteful number, since it uses less digits than its factorization.

13412599200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13412599200 in words is "thirteen billion, four hundred twelve million, five hundred ninety-nine thousand, two hundred".