12087151156800 has 756 divisors, whose sum is σ = 44215537568748. Its totient is φ = 3131670528000.

The previous prime is 12087151156789. The next prime is 12087151156831. The reversal of 12087151156800 is 865115178021.

12087151156800 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 7 + 1 + 511 + 56 + 80 + 0 = 666.

12087151156800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 11730570200064 + 356580956736 = 3424992^2 + 597144^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6801997512 + ... + 6801999288.

Almost surely, 2^{12087151156800} is an apocalyptic number.

12087151156800 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 12087151156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22107768784374).

12087151156800 is an abundant number, since it is smaller than the sum of its proper divisors (32128386411948).

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

12087151156800 is a wasteful number, since it uses less digits than its factorization.

12087151156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 45.

The spelling of 12087151156800 in words is "twelve trillion, eighty-seven billion, one hundred fifty-one million, one hundred fifty-six thousand, eight hundred".