133212000 has 192 divisors, whose sum is σ = 462780864. Its totient is φ = 33382400.

The previous prime is 133211989. The next prime is 133212011. The reversal of 133212000 is 212331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133211989) and next prime (133212011).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203674 + ... + 204326.

It is an arithmetic number, because the mean of its divisors is an integer number (2410317).

Almost surely, 2^133212000 is an apocalyptic number.

133212000 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 133212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231390432).

133212000 is an abundant number, since it is smaller than the sum of its proper divisors (329568864).

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

133212000 is a wasteful number, since it uses less digits than its factorization.

133212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 680 counting only the distinct ones).

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

The square root of 133212000 is about 11541.7503005393. The cubic root of 133212000 is about 510.7179431029.

Adding to 133212000 its reverse (212331), we get a palindrome (133424331).

The spelling of 133212000 in words is "one hundred thirty-three million, two hundred twelve thousand".