120004192 has 96 divisors (see below), whose sum is σ = 297851904. Its totient is φ = 46233600.

The previous prime is 120004187. The next prime is 120004219. The reversal of 120004192 is 291400021.

It is a congruent number.

It is an unprimeable number.

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, 278217 + ... + 278647.

It is an arithmetic number, because the mean of its divisors is an integer number (3102624).

Almost surely, 2^120004192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120004192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).

120004192 is an abundant number, since it is smaller than the sum of its proper divisors (177847712).

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

120004192 is a wasteful number, since it uses less digits than its factorization.

120004192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 120004192 is about 10954.6424861791. The cubic root of 120004192 is about 493.2481583331.

The spelling of 120004192 in words is "one hundred twenty million, four thousand, one hundred ninety-two".