120988 has 24 divisors (see below), whose sum is σ = 252000. Its totient is φ = 49728.

The previous prime is 120977. The next prime is 120997. The reversal of 120988 is 889021.

It is a super-2 number, since 2×120988² = 29276192288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

120988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 738 + ... + 886.

It is an arithmetic number, because the mean of its divisors is an integer number (10500).

2¹²⁰⁹⁸⁸ 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 120988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126000).

120988 is an abundant number, since it is smaller than the sum of its proper divisors (131012).

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

120988 is a wasteful number, since it uses less digits than its factorization.

120988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 120988 is about 347.8332934036. The cubic root of 120988 is about 49.4592393082.

The spelling of 120988 in words is "one hundred twenty thousand, nine hundred eighty-eight".