120180000 has 120 divisors (see below), whose sum is σ = 394411248. Its totient is φ = 32032000.

The previous prime is 120179999. The next prime is 120180007. The reversal of 120180000 is 81021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120180007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58999 + ... + 61001.

Almost surely, 2^120180000 is an apocalyptic number.

120180000 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 120180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197205624).

120180000 is an abundant number, since it is smaller than the sum of its proper divisors (274231248).

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

120180000 is an equidigital number, since it uses as much as digits as its factorization.

120180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 120180000 is about 10962.6639098351. The cubic root of 120180000 is about 493.4889128656.

The spelling of 120180000 in words is "one hundred twenty million, one hundred eighty thousand".