12729699972 has 144 divisors (see below), whose sum is σ = 35650742400. Its totient is φ = 3829446720.

The previous prime is 12729699949. The next prime is 12729700019. The reversal of 12729699972 is 27999692721.

It is a super-2 number, since 2×12729699972² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7138593 + ... + 7140375.

It is an arithmetic number, because the mean of its divisors is an integer number (247574600).

Almost surely, 2^12729699972 is an apocalyptic number.

12729699972 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 12729699972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17825371200).

12729699972 is an abundant number, since it is smaller than the sum of its proper divisors (22921042428).

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

12729699972 is a wasteful number, since it uses less digits than its factorization.

12729699972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1948 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 63.

The spelling of 12729699972 in words is "twelve billion, seven hundred twenty-nine million, six hundred ninety-nine thousand, nine hundred seventy-two".