12072617251 has 8 divisors (see below), whose sum is σ = 12112808400. Its totient is φ = 12032481120.

The previous prime is 12072617197. The next prime is 12072617267. The reversal of 12072617251 is 15271627021.

12072617251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12072617251 - 2¹⁵ = 12072584483 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12072617351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451681 + ... + 477661.

It is an arithmetic number, because the mean of its divisors is an integer number (1514101050).

Almost surely, 2^12072617251 is an apocalyptic number.

12072617251 is a deficient number, since it is larger than the sum of its proper divisors (40191149).

12072617251 is a wasteful number, since it uses less digits than its factorization.

12072617251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27509.

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 12072617251 in words is "twelve billion, seventy-two million, six hundred seventeen thousand, two hundred fifty-one".