1200180 has 48 divisors (see below), whose sum is σ = 3415104. Its totient is φ = 314880.

The previous prime is 1200179. The next prime is 1200187. The reversal of 1200180 is 810021.

It is a happy number.

It is a super-3 number, since 3×1200180³ = 5186333149937496000, which contains 333 as substring.

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

1200180 is a modest number, since divided by 180 gives 120 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4860 + ... + 5100.

It is an arithmetic number, because the mean of its divisors is an integer number (71148).

2^1200180 is an apocalyptic number.

1200180 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 1200180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707552).

1200180 is an abundant number, since it is smaller than the sum of its proper divisors (2214924).

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

1200180 is a wasteful number, since it uses less digits than its factorization.

1200180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

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

The square root of 1200180 is about 1095.5272703132. The cubic root of 1200180 is about 106.2711699455.

It can be divided in two parts, 1200 and 180, that multiplied together give a cube (216000 = 60³).

The spelling of 1200180 in words is "one million, two hundred thousand, one hundred eighty".