212033000 has 64 divisors (see below), whose sum is σ = 507798720. Its totient is φ = 82824000.

The previous prime is 212032981. The next prime is 212033009. The reversal of 212033000 is 330212.

It is not an unprimeable number, because it can be changed into a prime (212033009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40535 + ... + 45465.

It is an arithmetic number, because the mean of its divisors is an integer number (7934355).

Almost surely, 2^212033000 is an apocalyptic number.

212033000 is a gapful number since it is divisible by the number (20) 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 212033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253899360).

212033000 is an abundant number, since it is smaller than the sum of its proper divisors (295765720).

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

212033000 is a wasteful number, since it uses less digits than its factorization.

212033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 212033000 is about 14561.3529591175. The cubic root of 212033000 is about 596.3041328728.

Adding to 212033000 its reverse (330212), we get a palindrome (212363212).

The spelling of 212033000 in words is "two hundred twelve million, thirty-three thousand".