12186090000 has 900 divisors, whose sum is σ = 52635101376. Its totient is φ = 2572416000.

The previous prime is 12186089917. The next prime is 12186090053. The reversal of 12186090000 is 9068121.

It is a tau number, because it is divible by the number of its divisors (900).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 420209986 + ... + 420210014.

Almost surely, 2^12186090000 is an apocalyptic number.

12186090000 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 12186090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26317550688).

12186090000 is an abundant number, since it is smaller than the sum of its proper divisors (40449011376).

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

12186090000 is a wasteful number, since it uses less digits than its factorization.

12186090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12186090000 in words is "twelve billion, one hundred eighty-six million, ninety thousand".