120408961 has 4 divisors (see below), whose sum is σ = 121020372. Its totient is φ = 119797552.

The previous prime is 120408941. The next prime is 120408997. The reversal of 120408961 is 169804021.

120408961 = T₈₉₅₈ + T₈₉₅₉ + T₈₉₆₀.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 169804021 = 241 ⋅704581.

It can be written as a sum of positive squares in 2 ways, for example, as 116964225 + 3444736 = 10815^2 + 1856^2 .

It is a cyclic number.

It is not a de Polignac number, because 120408961 - 2¹⁷ = 120277889 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120408931) 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 in 3 ways as a sum of consecutive naturals, for example, 305410 + ... + 305803.

It is an arithmetic number, because the mean of its divisors is an integer number (30255093).

Almost surely, 2^120408961 is an apocalyptic number.

120408961 is the 8960-th centered triangular number.

It is an amenable number.

120408961 is a deficient number, since it is larger than the sum of its proper divisors (611411).

120408961 is an equidigital number, since it uses as much as digits as its factorization.

120408961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611410.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 120408961 is about 10973.1017037117. The cubic root of 120408961 is about 493.8021042915.

The spelling of 120408961 in words is "one hundred twenty million, four hundred eight thousand, nine hundred sixty-one".