12504619200 has 336 divisors, whose sum is σ = 42002561664. Its totient is φ = 3256320000.

The previous prime is 12504619199. The next prime is 12504619213. The reversal of 12504619200 is 291640521.

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 47 ways as a sum of consecutive naturals, for example, 49819075 + ... + 49819325.

It is an arithmetic number, because the mean of its divisors is an integer number (125007624).

Almost surely, 2^12504619200 is an apocalyptic number.

12504619200 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 12504619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21001280832).

12504619200 is an abundant number, since it is smaller than the sum of its proper divisors (29497942464).

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

12504619200 is a wasteful number, since it uses less digits than its factorization.

12504619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 465 counting only the distinct ones).

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

The spelling of 12504619200 in words is "twelve billion, five hundred four million, six hundred nineteen thousand, two hundred".