132201312 has 48 divisors (see below), whose sum is σ = 350950320. Its totient is φ = 43569152.

The previous prime is 132201283. The next prime is 132201319. The reversal of 132201312 is 213102231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 132201291 and 132201300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132201319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808 + ... + 16280.

It is an arithmetic number, because the mean of its divisors is an integer number (7311465).

Almost surely, 2^132201312 is an apocalyptic number.

132201312 is a gapful number since it is divisible by the number (12) 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 132201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175475160).

132201312 is an abundant number, since it is smaller than the sum of its proper divisors (218749008).

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

132201312 is a wasteful number, since it uses less digits than its factorization.

132201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15575 (or 15567 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 132201312 is about 11497.8829355669. The cubic root of 132201312 is about 509.4230461260.

Adding to 132201312 its reverse (213102231), we get a palindrome (345303543).

The spelling of 132201312 in words is "one hundred thirty-two million, two hundred one thousand, three hundred twelve".