132011120 has 80 divisors (see below), whose sum is σ = 328237920. Its totient is φ = 49201152.

The previous prime is 132011111. The next prime is 132011123. The reversal of 132011120 is 21110231.

132011120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132011123) 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, 153251 + ... + 154109.

It is an arithmetic number, because the mean of its divisors is an integer number (4102974).

Almost surely, 2^132011120 is an apocalyptic number.

132011120 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 132011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164118960).

132011120 is an abundant number, since it is smaller than the sum of its proper divisors (196226800).

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

132011120 is a wasteful number, since it uses less digits than its factorization.

132011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 132011120 is about 11489.6092187681. The cubic root of 132011120 is about 509.1786343105.

Adding to 132011120 its reverse (21110231), we get a palindrome (153121351).

The spelling of 132011120 in words is "one hundred thirty-two million, eleven thousand, one hundred twenty".