12087151866000 has 240 divisors, whose sum is σ = 44051889248640. Its totient is φ = 3083099500800.

The previous prime is 12087151865963. The next prime is 12087151866029. The reversal of 12087151866000 is 66815178021.

12087151866000 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 71 + 518 + 6 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14184010 + ... + 15012009.

It is an arithmetic number, because the mean of its divisors is an integer number (183549538536).

Almost surely, 2^{12087151866000} is an apocalyptic number.

12087151866000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12087151866000 is an abundant number, since it is smaller than the sum of its proper divisors (31964737382640).

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

12087151866000 is a wasteful number, since it uses less digits than its factorization.

12087151866000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29196071 (or 29196052 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12087151866000 in words is "twelve trillion, eighty-seven billion, one hundred fifty-one million, eight hundred sixty-six thousand".