12186954624 has 128 divisors (see below), whose sum is σ = 35804472480. Its totient is φ = 3648430080.

The previous prime is 12186954623. The next prime is 12186954631. The reversal of 12186954624 is 42645968121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12186954623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151714 + ... + 217694.

Almost surely, 2^12186954624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12186954624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902236240).

12186954624 is an abundant number, since it is smaller than the sum of its proper divisors (23617517856).

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

12186954624 is a wasteful number, since it uses less digits than its factorization.

12186954624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66048 (or 66036 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The spelling of 12186954624 in words is "twelve billion, one hundred eighty-six million, nine hundred fifty-four thousand, six hundred twenty-four".