120300 has 36 divisors (see below), whose sum is σ = 348936. Its totient is φ = 32000.

The previous prime is 120299. The next prime is 120319. The reversal of 120300 is 3021.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100 + ... + 500.

2^{120300} is an apocalyptic number.

120300 is a gapful number since it is divisible by the number (10) 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 120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174468).

120300 is an abundant number, since it is smaller than the sum of its proper divisors (228636).

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

120300 is a wasteful number, since it uses less digits than its factorization.

120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 120300 is about 346.8429039205. The cubic root of 120300 is about 49.3653108157.

Adding to 120300 its reverse (3021), we get a palindrome (123321).

It can be divided in two parts, 1 and 20300, that added together give a triangular number (20301 = T_{201}).

The spelling of 120300 in words is "one hundred twenty thousand, three hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 401 802 1203 1604 2005 2406 4010 4812 6015 8020 10025 12030 20050 24060 30075 40100 60150 120300

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