12188763972 has 288 divisors, whose sum is σ = 41256843264. Its totient is φ = 2936908800.

The previous prime is 12188763971. The next prime is 12188764001. The reversal of 12188763972 is 27936788121.

It is a happy number.

12188763972 is a `hidden beast` number, since 1 + 2 + 188 + 76 + 397 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12188763971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3343983 + ... + 3347625.

It is an arithmetic number, because the mean of its divisors is an integer number (143252928).

Almost surely, 2^12188763972 is an apocalyptic number.

12188763972 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 12188763972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20628421632).

12188763972 is an abundant number, since it is smaller than the sum of its proper divisors (29068079292).

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

12188763972 is a wasteful number, since it uses less digits than its factorization.

12188763972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3754 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 12188763972 in words is "twelve billion, one hundred eighty-eight million, seven hundred sixty-three thousand, nine hundred seventy-two".