12193644672 has 576 divisors, whose sum is σ = 42764772960. Its totient is φ = 3295395840.

The previous prime is 12193644629. The next prime is 12193644679. The reversal of 12193644672 is 27644639121.

12193644672 is a `hidden beast` number, since 1 + 219 + 364 + 4 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (12193644679) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113959243 + ... + 113959349.

Almost surely, 2^12193644672 is an apocalyptic number.

12193644672 is a gapful number since it is divisible by the number (12) 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 12193644672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21382386480).

12193644672 is an abundant number, since it is smaller than the sum of its proper divisors (30571128288).

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

12193644672 is a wasteful number, since it uses less digits than its factorization.

12193644672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 163 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 12193644672 in words is "twelve billion, one hundred ninety-three million, six hundred forty-four thousand, six hundred seventy-two".