12150259200000 has 780 divisors, whose sum is σ = 45371396513520. Its totient is φ = 3239792640000.

The previous prime is 12150259199891. The next prime is 12150259200019. The reversal of 12150259200000 is 295205121.

12150259200000 is a `hidden beast` number, since 1 + 21 + 50 + 2 + 592 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 1036794141 + ... + 1036805859.

Almost surely, 2^{12150259200000} is an apocalyptic number.

12150259200000 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 12150259200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685698256760).

12150259200000 is an abundant number, since it is smaller than the sum of its proper divisors (33221137313520).

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

12150259200000 is an frugal number, since it uses more digits than its factorization.

12150259200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11780 (or 11729 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 12150259200000 in words is "twelve trillion, one hundred fifty billion, two hundred fifty-nine million, two hundred thousand".