12456354001 has 64 divisors (see below), whose sum is σ = 16734699520. Its totient is φ = 8994343680.

The previous prime is 12456353989. The next prime is 12456354017. The reversal of 12456354001 is 10045365421.

It is a happy number.

12456354001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12456354001 - 2⁷ = 12456353873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (12456354101) 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 63 ways as a sum of consecutive naturals, for example, 16454515 + ... + 16455271.

It is an arithmetic number, because the mean of its divisors is an integer number (261479680).

Almost surely, 2^12456354001 is an apocalyptic number.

It is an amenable number.

12456354001 is a deficient number, since it is larger than the sum of its proper divisors (4278345519).

12456354001 is a wasteful number, since it uses less digits than its factorization.

12456354001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134.

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 12456354001 in words is "twelve billion, four hundred fifty-six million, three hundred fifty-four thousand, one".