120611328 has 160 divisors (see below), whose sum is σ = 353548800. Its totient is φ = 36372480.

The previous prime is 120611327. The next prime is 120611339. The reversal of 120611328 is 823116021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120611298 and 120611307.

It is not an unprimeable number, because it can be changed into a prime (120611327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 809398 + ... + 809546.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2^120611328 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 120611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

120611328 is an abundant number, since it is smaller than the sum of its proper divisors (232937472).

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

120611328 is a wasteful number, since it uses less digits than its factorization.

120611328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 120611328 is about 10982.3188808193. The cubic root of 120611328 is about 494.0785879223.

Adding to 120611328 its reverse (823116021), we get a palindrome (943727349).

The spelling of 120611328 in words is "one hundred twenty million, six hundred eleven thousand, three hundred twenty-eight".