212042000 has 80 divisors (see below), whose sum is σ = 518477232. Its totient is φ = 83865600.

The previous prime is 212041993. The next prime is 212042011. The reversal of 212042000 is 240212.

It can be written as a sum of positive squares in 8 ways, for example, as 18386944 + 193655056 = 4288^2 + 13916^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 193454 + ... + 194546.

Almost surely, 2^212042000 is an apocalyptic number.

212042000 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 212042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259238616).

212042000 is an abundant number, since it is smaller than the sum of its proper divisors (306435232).

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

212042000 is a wasteful number, since it uses less digits than its factorization.

212042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 212042000 is about 14561.6619930556. The cubic root of 212042000 is about 596.3125697061.

Adding to 212042000 its reverse (240212), we get a palindrome (212282212).

The spelling of 212042000 in words is "two hundred twelve million, forty-two thousand".