12187596960 has 1344 divisors, whose sum is σ = 57114408960. Its totient is φ = 2381322240.

The previous prime is 12187596943. The next prime is 12187596961. The reversal of 12187596960 is 6969578121.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12187596897 and 12187596906.

It is not an unprimeable number, because it can be changed into a prime (12187596961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 206569411 + ... + 206569469.

It is an arithmetic number, because the mean of its divisors is an integer number (42495840).

Almost surely, 2^12187596960 is an apocalyptic number.

12187596960 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 12187596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28557204480).

12187596960 is an abundant number, since it is smaller than the sum of its proper divisors (44926812000).

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

12187596960 is a wasteful number, since it uses less digits than its factorization.

12187596960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 12187596960 in words is "twelve billion, one hundred eighty-seven million, five hundred ninety-six thousand, nine hundred sixty".