12189131640 has 128 divisors (see below), whose sum is σ = 46434816000. Its totient is φ = 2786085504.

The previous prime is 12189131639. The next prime is 12189131641. The reversal of 12189131640 is 4613198121.

12189131640 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 9 + 1 + 3 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (12189131639) and next prime (12189131641).

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

It is a junction number, because it is equal to n+sod(n) for n = 12189131595 and 12189131604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12189131641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798600 + ... + 813719.

It is an arithmetic number, because the mean of its divisors is an integer number (362772000).

Almost surely, 2^12189131640 is an apocalyptic number.

12189131640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12189131640 is an abundant number, since it is smaller than the sum of its proper divisors (34245684360).

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

12189131640 is a wasteful number, since it uses less digits than its factorization.

12189131640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612346 (or 1612336 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 12189131640 in words is "twelve billion, one hundred eighty-nine million, one hundred thirty-one thousand, six hundred forty".