120085024 has 48 divisors (see below), whose sum is σ = 248427648. Its totient is φ = 57029632.

The previous prime is 120085003. The next prime is 120085037. The reversal of 120085024 is 420580021.

It is a junction number, because it is equal to n+sod(n) for n = 120084986 and 120085004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122424 + ... + 123400.

It is an arithmetic number, because the mean of its divisors is an integer number (5175576).

Almost surely, 2^120085024 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 120085024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124213824).

120085024 is an abundant number, since it is smaller than the sum of its proper divisors (128342624).

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

120085024 is a wasteful number, since it uses less digits than its factorization.

120085024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 120085024 is about 10958.3312598224. The cubic root of 120085024 is about 493.3588802613.

The spelling of 120085024 in words is "one hundred twenty million, eighty-five thousand, twenty-four".