120968331 has 32 divisors (see below), whose sum is σ = 181496832. Its totient is φ = 71033760.

The previous prime is 120968321. The next prime is 120968333. The reversal of 120968331 is 133869021.

It is not a de Polignac number, because 120968331 - 2⁷ = 120968203 is a prime.

It is a super-2 number, since 2×120968331² = 29266674209851122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 120968292 and 120968301.

It is not an unprimeable number, because it can be changed into a prime (120968333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231036 + ... + 231558.

It is an arithmetic number, because the mean of its divisors is an integer number (5671776).

Almost surely, 2^120968331 is an apocalyptic number.

120968331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120968331 is a deficient number, since it is larger than the sum of its proper divisors (60528501).

120968331 is a wasteful number, since it uses less digits than its factorization.

120968331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 120968331 is about 10998.5604057986. The cubic root of 120968331 is about 494.5655896938.

The spelling of 120968331 in words is "one hundred twenty million, nine hundred sixty-eight thousand, three hundred thirty-one".