12412140153201 has 64 divisors (see below), whose sum is σ = 20210757120000. Its totient is φ = 7498188968256.

The previous prime is 12412140153131. The next prime is 12412140153209. The reversal of 12412140153201 is 10235104121421.

12412140153201 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 2 + 1 + 401 + 53 + 201 = 666.

It is not a de Polignac number, because 12412140153201 - 2²⁵ = 12412106598769 is a prime.

It is a super-2 number, since 2×12412140153201² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12412140153209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2306841 + ... + 5490518.

It is an arithmetic number, because the mean of its divisors is an integer number (315793080000).

Almost surely, 2^{12412140153201} is an apocalyptic number.

It is an amenable number.

12412140153201 is a deficient number, since it is larger than the sum of its proper divisors (7798616966799).

12412140153201 is a wasteful number, since it uses less digits than its factorization.

12412140153201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7797523 (or 7797517 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 12412140153201 its reverse (10235104121421), we get a palindrome (22647244274622).

The spelling of 12412140153201 in words is "twelve trillion, four hundred twelve billion, one hundred forty million, one hundred fifty-three thousand, two hundred one".