132212100 has 144 divisors (see below), whose sum is σ = 403460288. Its totient is φ = 33384960.

The previous prime is 132212099. The next prime is 132212107. The reversal of 132212100 is 1212231.

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 (132212107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477162 + ... + 477438.

Almost surely, 2^132212100 is an apocalyptic number.

132212100 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 132212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201730144).

132212100 is an abundant number, since it is smaller than the sum of its proper divisors (271248188).

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

132212100 is a wasteful number, since it uses less digits than its factorization.

132212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132212100 is about 11498.3520558383. The cubic root of 132212100 is about 509.4369025350.

Adding to 132212100 its reverse (1212231), we get a palindrome (133424331).

The spelling of 132212100 in words is "one hundred thirty-two million, two hundred twelve thousand, one hundred".