120890 has 32 divisors (see below), whose sum is σ = 273024. Its totient is φ = 37440.

The previous prime is 120889. The next prime is 120899. The reversal of 120890 is 98021.

120890 = T₆₅ + T₆₆ + ... + T₉₉.

It is a super-2 number, since 2×120890² = 29228784200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120899) 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, 692 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (8532).

2¹²⁰⁸⁹⁰ is an apocalyptic number.

120890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120890 is an abundant number, since it is smaller than the sum of its proper divisors (152134).

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

120890 is a wasteful number, since it uses less digits than its factorization.

120890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 120890 is about 347.6923927842. The cubic root of 120890 is about 49.4458817446.

The spelling of 120890 in words is "one hundred twenty thousand, eight hundred ninety".