12035680272 has 720 divisors, whose sum is σ = 45723740160. Its totient is φ = 3017710080.

The previous prime is 12035680259. The next prime is 12035680313. The reversal of 12035680272 is 27208653021.

12035680272 is a `hidden beast` number, since 1 + 20 + 3 + 568 + 0 + 2 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94769073 + ... + 94769199.

Almost surely, 2^12035680272 is an apocalyptic number.

12035680272 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 12035680272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861870080).

12035680272 is an abundant number, since it is smaller than the sum of its proper divisors (33688059888).

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

12035680272 is a wasteful number, since it uses less digits than its factorization.

12035680272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12035680272 in words is "twelve billion, thirty-five million, six hundred eighty thousand, two hundred seventy-two".