120386352528 has 120 divisors (see below), whose sum is σ = 363471970680. Its totient is φ = 36976527360.

The previous prime is 120386352509. The next prime is 120386352539. The reversal of 120386352528 is 825253683021.

120386352528 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 8 + 635 + 2 + 5 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2608349184 + 117778003344 = 51072^2 + 343188^2 .

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, 1008658 + ... + 1121678.

It is an arithmetic number, because the mean of its divisors is an integer number (3028933089).

Almost surely, 2^120386352528 is an apocalyptic number.

120386352528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120386352528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181735985340).

120386352528 is an abundant number, since it is smaller than the sum of its proper divisors (243085618152).

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

120386352528 is a wasteful number, since it uses less digits than its factorization.

120386352528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113617 (or 113608 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 120386352528 in words is "one hundred twenty billion, three hundred eighty-six million, three hundred fifty-two thousand, five hundred twenty-eight".