1200132180 has 192 divisors, whose sum is σ = 4196344320. Its totient is φ = 282534912.

The previous prime is 1200132179. The next prime is 1200132211. The reversal of 1200132180 is 812310021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 157744 + ... + 165176.

It is an arithmetic number, because the mean of its divisors is an integer number (21855960).

Almost surely, 2^1200132180 is an apocalyptic number.

1200132180 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 1200132180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098172160).

1200132180 is an abundant number, since it is smaller than the sum of its proper divisors (2996212140).

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

1200132180 is a wasteful number, since it uses less digits than its factorization.

1200132180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7487 (or 7479 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1200132180 is about 34642.9239528074. The cubic root of 1200132180 is about 1062.6975850306.

The spelling of 1200132180 in words is "one billion, two hundred million, one hundred thirty-two thousand, one hundred eighty".