120133029 has 16 divisors (see below), whose sum is σ = 174049280. Its totient is φ = 73424880.

The previous prime is 120133021. The next prime is 120133037. The reversal of 120133029 is 920331021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120133021) and next prime (120133037).

It is not a de Polignac number, because 120133029 - 2³ = 120133021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120132996 and 120133014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120133021) 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 15 ways as a sum of consecutive naturals, for example, 32227 + ... + 35760.

It is an arithmetic number, because the mean of its divisors is an integer number (10878080).

Almost surely, 2^120133029 is an apocalyptic number.

120133029 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

120133029 is a deficient number, since it is larger than the sum of its proper divisors (53916251).

120133029 is a wasteful number, since it uses less digits than its factorization.

120133029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68040.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 120133029 is about 10960.5213835839. The cubic root of 120133029 is about 493.4246129593.

The spelling of 120133029 in words is "one hundred twenty million, one hundred thirty-three thousand, twenty-nine".