120092742 has 72 divisors (see below), whose sum is σ = 326905488. Its totient is φ = 31188960.

The previous prime is 120092701. The next prime is 120092767. The reversal of 120092742 is 247290021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11308 + ... + 19184.

It is an arithmetic number, because the mean of its divisors is an integer number (4540354).

Almost surely, 2^120092742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120092742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163452744).

120092742 is an abundant number, since it is smaller than the sum of its proper divisors (206812746).

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

120092742 is a wasteful number, since it uses less digits than its factorization.

120092742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7914 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 120092742 is about 10958.6834063221. The cubic root of 120092742 is about 493.3694496122.

The spelling of 120092742 in words is "one hundred twenty million, ninety-two thousand, seven hundred forty-two".