120801582 has 96 divisors (see below), whose sum is σ = 303937920. Its totient is φ = 34292160.

The previous prime is 120801529. The next prime is 120801587. The reversal of 120801582 is 285108021.

120801582 is a `hidden beast` number, since 1 + 2 + 0 + 80 + 1 + 582 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120801587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613108 + ... + 613304.

It is an arithmetic number, because the mean of its divisors is an integer number (3166020).

Almost surely, 2^120801582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120801582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151968960).

120801582 is an abundant number, since it is smaller than the sum of its proper divisors (183136338).

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

120801582 is a wasteful number, since it uses less digits than its factorization.

120801582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 120801582 is about 10990.9772995853. The cubic root of 120801582 is about 494.3382402745.

The spelling of 120801582 in words is "one hundred twenty million, eight hundred one thousand, five hundred eighty-two".