133212 has 24 divisors (see below), whose sum is σ = 329616. Its totient is φ = 41728.

The previous prime is 133201. The next prime is 133213. The reversal of 133212 is 212331.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 3² + 2¹¹ + 3⁴ + 1 + 2¹⁷ .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133213) 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, 123 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (13734).

2¹³³²¹² is an apocalyptic number.

133212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133212 is an abundant number, since it is smaller than the sum of its proper divisors (196404).

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

133212 is a wasteful number, since it uses less digits than its factorization.

133212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 675 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 133212 is about 364.9821913464. The cubic root of 133212 is about 51.0717943103.

Adding to 133212 its reverse (212331), we get a palindrome (345543).

The spelling of 133212 in words is "one hundred thirty-three thousand, two hundred twelve".