120400361 has 2 divisors, whose sum is σ = 120400362. Its totient is φ = 120400360.

The previous prime is 120400349. The next prime is 120400363. The reversal of 120400361 is 163004021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109077136 + 11323225 = 10444^2 + 3365^2 .

It is a cyclic number.

It is not a de Polignac number, because 120400361 - 2¹⁰ = 120399337 is a prime.

Together with 120400363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (120400363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60200180 + 60200181.

It is an arithmetic number, because the mean of its divisors is an integer number (60200181).

Almost surely, 2^120400361 is an apocalyptic number.

It is an amenable number.

120400361 is a deficient number, since it is larger than the sum of its proper divisors (1).

120400361 is an equidigital number, since it uses as much as digits as its factorization.

120400361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 120400361 is about 10972.7098293904. The cubic root of 120400361 is about 493.7903476936.

Adding to 120400361 its reverse (163004021), we get a palindrome (283404382).

The spelling of 120400361 in words is "one hundred twenty million, four hundred thousand, three hundred sixty-one".