2133212000 has 48 divisors (see below), whose sum is σ = 5241311712. Its totient is φ = 853283200.

The previous prime is 2133211963. The next prime is 2133212009. The reversal of 2133212000 is 2123312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133212009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262652 + ... + 270651.

It is an arithmetic number, because the mean of its divisors is an integer number (109193994).

Almost surely, 2^2133212000 is an apocalyptic number.

2133212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133212000 is an abundant number, since it is smaller than the sum of its proper divisors (3108099712).

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

2133212000 is an equidigital number, since it uses as much as digits as its factorization.

2133212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533328 (or 533310 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2133212000 is about 46186.7080446312. The cubic root of 2133212000 is about 1287.2947735854.

Adding to 2133212000 its reverse (2123312), we get a palindrome (2135335312).

The spelling of 2133212000 in words is "two billion, one hundred thirty-three million, two hundred twelve thousand".