212011000 has 64 divisors (see below), whose sum is σ = 508304160. Its totient is φ = 82720000.

The previous prime is 212010989. The next prime is 212011043. The reversal of 212011000 is 110212.

212011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38415 + ... + 43585.

Almost surely, 2^212011000 is an apocalyptic number.

212011000 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 212011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254152080).

212011000 is an abundant number, since it is smaller than the sum of its proper divisors (296293160).

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

212011000 is a wasteful number, since it uses less digits than its factorization.

212011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 212011000 is about 14560.5975152121. The cubic root of 212011000 is about 596.2835084972.

Adding to 212011000 its reverse (110212), we get a palindrome (212121212).

It can be divided in two parts, 21201 and 1000, that added together give a square (22201 = 149²).

The spelling of 212011000 in words is "two hundred twelve million, eleven thousand".