12251346214401 has 24 divisors (see below), whose sum is σ = 20224648080000. Its totient is φ = 7000698810816.

The previous prime is 12251346214339. The next prime is 12251346214417. The reversal of 12251346214401 is 10441264315221.

12251346214401 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 1 + 34 + 6 + 214 + 401 = 666.

It is not a de Polignac number, because 12251346214401 - 2¹⁸ = 12251345952257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12251346214441) 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, 5688901 + ... + 7540973.

It is an arithmetic number, because the mean of its divisors is an integer number (842693670000).

Almost surely, 2^{12251346214401} is an apocalyptic number.

It is an amenable number.

12251346214401 is a deficient number, since it is larger than the sum of its proper divisors (7973301865599).

12251346214401 is a wasteful number, since it uses less digits than its factorization.

12251346214401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957085 (or 1957082 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12251346214401 in words is "twelve trillion, two hundred fifty-one billion, three hundred forty-six million, two hundred fourteen thousand, four hundred one".