120059016 has 96 divisors (see below), whose sum is σ = 380933280. Its totient is φ = 31180800.

The previous prime is 120058993. The next prime is 120059033. The reversal of 120059016 is 610950021.

120059016 = 286² + 287² + ... + 726².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8296 + ... + 17576.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^120059016 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 120059016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

120059016 is an abundant number, since it is smaller than the sum of its proper divisors (260874264).

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

120059016 is a wasteful number, since it uses less digits than its factorization.

120059016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9315 (or 9304 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 120059016 is about 10957.1445185322. The cubic root of 120059016 is about 493.3232604875.

The spelling of 120059016 in words is "one hundred twenty million, fifty-nine thousand, sixteen".