12086661600 has 432 divisors, whose sum is σ = 46279069200. Its totient is φ = 2950594560.

The previous prime is 12086661593. The next prime is 12086661637. The reversal of 12086661600 is 616668021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 13009936 + ... + 13010864.

It is an arithmetic number, because the mean of its divisors is an integer number (107127475).

Almost surely, 2^12086661600 is an apocalyptic number.

12086661600 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 12086661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23139534600).

12086661600 is an abundant number, since it is smaller than the sum of its proper divisors (34192407600).

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

12086661600 is a wasteful number, since it uses less digits than its factorization.

12086661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12086661600 in words is "twelve billion, eighty-six million, six hundred sixty-one thousand, six hundred".