12449872789200 has 1080 divisors, whose sum is σ = 55935182746560. Its totient is φ = 2586944563200.

The previous prime is 12449872789199. The next prime is 12449872789217. The reversal of 12449872789200 is 298727894421.

12449872789200 is a `hidden beast` number, since 1 + 2 + 4 + 498 + 72 + 78 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 202047996 + ... + 202109604.

Almost surely, 2^{12449872789200} is an apocalyptic number.

12449872789200 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 12449872789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27967591373280).

12449872789200 is an abundant number, since it is smaller than the sum of its proper divisors (43485309957360).

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

12449872789200 is an equidigital number, since it uses as much as digits as its factorization.

12449872789200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61669 (or 61637 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 12449872789200 in words is "twelve trillion, four hundred forty-nine billion, eight hundred seventy-two million, seven hundred eighty-nine thousand, two hundred".