12006724769520 has 160 divisors (see below), whose sum is σ = 40181997979200. Its totient is φ = 2948275003392.

The previous prime is 12006724769453. The next prime is 12006724769551. The reversal of 12006724769520 is 2596742760021.

It is a super-2 number, since 2×12006724769520² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3428455 + ... + 5980614.

It is an arithmetic number, because the mean of its divisors is an integer number (251137487370).

Almost surely, 2^{12006724769520} is an apocalyptic number.

12006724769520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12006724769520 is an abundant number, since it is smaller than the sum of its proper divisors (28175273209680).

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

12006724769520 is a wasteful number, since it uses less digits than its factorization.

12006724769520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9409507 (or 9409501 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 12006724769520 in words is "twelve trillion, six billion, seven hundred twenty-four million, seven hundred sixty-nine thousand, five hundred twenty".