120892508417 has 2 divisors, whose sum is σ = 120892508418. Its totient is φ = 120892508416.

The previous prime is 120892508413. The next prime is 120892508449. The reversal of 120892508417 is 714805298021.

It is a Cunningham number, because it is equal to 347696²+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120892508416 + 1 = 347696^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 120892508417 - 2² = 120892508413 is a prime.

It is a super-2 number, since 2×120892508417² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (120892508413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60446254208 + 60446254209.

It is an arithmetic number, because the mean of its divisors is an integer number (60446254209).

Almost surely, 2^120892508417 is an apocalyptic number.

It is an amenable number.

120892508417 is a deficient number, since it is larger than the sum of its proper divisors (1).

120892508417 is an equidigital number, since it uses as much as digits as its factorization.

120892508417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 322560, while the sum is 47.

The spelling of 120892508417 in words is "one hundred twenty billion, eight hundred ninety-two million, five hundred eight thousand, four hundred seventeen".