120123133 has 8 divisors (see below), whose sum is σ = 133824600. Its totient is φ = 107059008.

The previous prime is 120123121. The next prime is 120123167. The reversal of 120123133 is 331321021.

It can be written as a sum of positive squares in 4 ways, for example, as 16144324 + 103978809 = 4018^2 + 10197^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120123133 - 2²¹ = 118025981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120123103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158938 + ... + 159691.

It is an arithmetic number, because the mean of its divisors is an integer number (16728075).

Almost surely, 2^120123133 is an apocalyptic number.

120123133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120123133 is a deficient number, since it is larger than the sum of its proper divisors (13701467).

120123133 is a wasteful number, since it uses less digits than its factorization.

120123133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318671.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 120123133 is about 10960.0699359083. The cubic root of 120123133 is about 493.4110639126.

Adding to 120123133 its reverse (331321021), we get a palindrome (451444154).

The spelling of 120123133 in words is "one hundred twenty million, one hundred twenty-three thousand, one hundred thirty-three".