12407348601 has 24 divisors (see below), whose sum is σ = 18275067720. Its totient is φ = 8108745216.

The previous prime is 12407348587. The next prime is 12407348609. The reversal of 12407348601 is 10684370421.

12407348601 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 7 + 3 + 48 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5094533376 + 7312815225 = 71376^2 + 85515^2 .

It is not a de Polignac number, because 12407348601 - 2³³ = 3817414009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12407348609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598945 + ... + 619313.

It is an arithmetic number, because the mean of its divisors is an integer number (761461155).

Almost surely, 2^12407348601 is an apocalyptic number.

It is an amenable number.

12407348601 is a deficient number, since it is larger than the sum of its proper divisors (5867719119).

12407348601 is a wasteful number, since it uses less digits than its factorization.

12407348601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21705 (or 21702 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12407348601 in words is "twelve billion, four hundred seven million, three hundred forty-eight thousand, six hundred one".