120888 has 48 divisors (see below), whose sum is σ = 346320. Its totient is φ = 38016.

The previous prime is 120877. The next prime is 120889. The reversal of 120888 is 888021.

It is a super-2 number, since 2×120888² = 29227817088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

120888 is a modest number, since divided by 888 gives 120 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1620 + ... + 1692.

It is an arithmetic number, because the mean of its divisors is an integer number (7215).

2¹²⁰⁸⁸⁸ is an apocalyptic number.

120888 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 120888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173160).

120888 is an abundant number, since it is smaller than the sum of its proper divisors (225432).

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

120888 is a wasteful number, since it uses less digits than its factorization.

120888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 120888 is about 347.6895166668. The cubic root of 120888 is about 49.4456090661.

It can be divided in two parts, 1208 and 88, that added together give a 4-th power (1296 = 6⁴).

The spelling of 120888 in words is "one hundred twenty thousand, eight hundred eighty-eight".