120416761 has 2 divisors, whose sum is σ = 120416762. Its totient is φ = 120416760.

The previous prime is 120416743. The next prime is 120416771. The reversal of 120416761 is 167614021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106399225 + 14017536 = 10315^2 + 3744^2 .

It is an emirp because it is prime and its reverse (167614021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 120416761 - 2⁷ = 120416633 is a prime.

It is a super-2 number, since 2×120416761² = 29000392659462242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (120416771) 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 as a sum of consecutive naturals, namely, 60208380 + 60208381.

It is an arithmetic number, because the mean of its divisors is an integer number (60208381).

Almost surely, 2^120416761 is an apocalyptic number.

It is an amenable number.

120416761 is a deficient number, since it is larger than the sum of its proper divisors (1).

120416761 is an equidigital number, since it uses as much as digits as its factorization.

120416761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 120416761 is about 10973.4571125056. The cubic root of 120416761 is about 493.8127667682.

The spelling of 120416761 in words is "one hundred twenty million, four hundred sixteen thousand, seven hundred sixty-one".