212133201 has 12 divisors (see below), whose sum is σ = 329023152. Its totient is φ = 121218888.

The previous prime is 212133199. The next prime is 212133239. The reversal of 212133201 is 102331212.

It is not a de Polignac number, because 212133201 - 2¹ = 212133199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212133241) 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 11 ways as a sum of consecutive naturals, for example, 721395 + ... + 721688.

It is an arithmetic number, because the mean of its divisors is an integer number (27418596).

Almost surely, 2^212133201 is an apocalyptic number.

212133201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212133201 is a deficient number, since it is larger than the sum of its proper divisors (116889951).

212133201 is a wasteful number, since it uses less digits than its factorization.

212133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443100 (or 1443093 counting only the distinct ones).

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

The square root of 212133201 is about 14564.7932014155. The cubic root of 212133201 is about 596.3980504245.

Adding to 212133201 its reverse (102331212), we get a palindrome (314464413).

The spelling of 212133201 in words is "two hundred twelve million, one hundred thirty-three thousand, two hundred one".