12490915780800 has 756 divisors, whose sum is σ = 47348288295360. Its totient is φ = 3240785479680.

The previous prime is 12490915780799. The next prime is 12490915780829. The reversal of 12490915780800 is 808751909421.

It is a happy number.

12490915780800 is a `hidden beast` number, since 1 + 2 + 490 + 9 + 1 + 5 + 78 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 388395121 + ... + 388427279.

Almost surely, 2^{12490915780800} is an apocalyptic number.

12490915780800 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 12490915780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23674144147680).

12490915780800 is an abundant number, since it is smaller than the sum of its proper divisors (34857372514560).

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

12490915780800 is an frugal number, since it uses more digits than its factorization.

12490915780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32242 (or 32206 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 12490915780800 in words is "twelve trillion, four hundred ninety billion, nine hundred fifteen million, seven hundred eighty thousand, eight hundred".