120005292 has 96 divisors (see below), whose sum is σ = 327398400. Its totient is φ = 33825600.

The previous prime is 120005269. The next prime is 120005293. The reversal of 120005292 is 292500021.

It is not an unprimeable number, because it can be changed into a prime (120005293) 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 31 ways as a sum of consecutive naturals, for example, 147567 + ... + 148377.

It is an arithmetic number, because the mean of its divisors is an integer number (3410400).

Almost surely, 2^120005292 is an apocalyptic number.

120005292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120005292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163699200).

120005292 is an abundant number, since it is smaller than the sum of its proper divisors (207393108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120005292 is a wasteful number, since it uses less digits than its factorization.

120005292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 120005292 is about 10954.6926930882. The cubic root of 120005292 is about 493.2496654230.

The spelling of 120005292 in words is "one hundred twenty million, five thousand, two hundred ninety-two".