12046158000 has 800 divisors, whose sum is σ = 47018454912. Its totient is φ = 2965248000.

The previous prime is 12046157989. The next prime is 12046158067. The reversal of 12046158000 is 85164021.

12046158000 is a `hidden beast` number, since 1 + 20 + 4 + 61 + 580 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 197477970 + ... + 197478030.

Almost surely, 2^12046158000 is an apocalyptic number.

12046158000 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 12046158000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23509227456).

12046158000 is an abundant number, since it is smaller than the sum of its proper divisors (34972296912).

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

12046158000 is a wasteful number, since it uses less digits than its factorization.

12046158000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12046158000 in words is "twelve billion, forty-six million, one hundred fifty-eight thousand".