12405017079 has 96 divisors (see below), whose sum is σ = 24216192000. Its totient is φ = 6158218752.

The previous prime is 12405017069. The next prime is 12405017099. The reversal of 12405017079 is 97071050421.

It is a happy number.

12405017079 is a `hidden beast` number, since 12 + 4 + 0 + 501 + 70 + 79 = 666.

It is not a de Polignac number, because 12405017079 - 2²¹ = 12402919927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12405017029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359422 + ... + 392420.

It is an arithmetic number, because the mean of its divisors is an integer number (252252000).

Almost surely, 2^12405017079 is an apocalyptic number.

12405017079 is a deficient number, since it is larger than the sum of its proper divisors (11811174921).

12405017079 is a wasteful number, since it uses less digits than its factorization.

12405017079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33051 (or 33039 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 12405017079 in words is "twelve billion, four hundred five million, seventeen thousand, seventy-nine".