12186900000 has 432 divisors, whose sum is σ = 47294222976. Its totient is φ = 2952000000.

The previous prime is 12186899981. The next prime is 12186900023. The reversal of 12186900000 is 968121.

It is a super-2 number, since 2×12186900000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9899385 + ... + 9900615.

It is an arithmetic number, because the mean of its divisors is an integer number (109477368).

Almost surely, 2^12186900000 is an apocalyptic number.

12186900000 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 12186900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23647111488).

12186900000 is an abundant number, since it is smaller than the sum of its proper divisors (35107322976).

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

12186900000 is a wasteful number, since it uses less digits than its factorization.

12186900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1252 counting only the distinct ones).

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

The spelling of 12186900000 in words is "twelve billion, one hundred eighty-six million, nine hundred thousand".