12129772032 has 600 divisors, whose sum is σ = 43349796864. Its totient is φ = 3365203968.

The previous prime is 12129772021. The next prime is 12129772037. The reversal of 12129772032 is 23027792121.

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

It is not an unprimeable number, because it can be changed into a prime (12129772037) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 95509953 + ... + 95510079.

Almost surely, 2^12129772032 is an apocalyptic number.

12129772032 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 12129772032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21674898432).

12129772032 is an abundant number, since it is smaller than the sum of its proper divisors (31220024832).

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

12129772032 is an equidigital number, since it uses as much as digits as its factorization.

12129772032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 12129772032 in words is "twelve billion, one hundred twenty-nine million, seven hundred seventy-two thousand, thirty-two".