120414250510361 has 2 divisors, whose sum is σ = 120414250510362. Its totient is φ = 120414250510360.

The previous prime is 120414250510339. The next prime is 120414250510403. The reversal of 120414250510361 is 163015052414021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70155282015625 + 50258968494736 = 8375875^2 + 7089356^2 .

It is a cyclic number.

It is not a de Polignac number, because 120414250510361 - 2³⁸ = 120139372603417 is a prime.

It is not a weakly prime, because it can be changed into another prime (120414250510661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60207125255180 + 60207125255181.

It is an arithmetic number, because the mean of its divisors is an integer number (60207125255181).

Almost surely, 2^{120414250510361} is an apocalyptic number.

It is an amenable number.

120414250510361 is a deficient number, since it is larger than the sum of its proper divisors (1).

120414250510361 is an equidigital number, since it uses as much as digits as its factorization.

120414250510361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 120414250510361 in words is "one hundred twenty trillion, four hundred fourteen billion, two hundred fifty million, five hundred ten thousand, three hundred sixty-one".