212003000 has 64 divisors (see below), whose sum is σ = 541213920. Its totient is φ = 77088000.

The previous prime is 212002991. The next prime is 212003009. The reversal of 212003000 is 300212.

It is an interprime number because it is at equal distance from previous prime (212002991) and next prime (212003009).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212003009) 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 15 ways as a sum of consecutive naturals, for example, 1364 + ... + 20636.

Almost surely, 2^212003000 is an apocalyptic number.

212003000 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 212003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270606960).

212003000 is an abundant number, since it is smaller than the sum of its proper divisors (329210920).

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

212003000 is a wasteful number, since it uses less digits than its factorization.

212003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19305 (or 19291 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 212003000 is about 14560.3227986195. The cubic root of 212003000 is about 596.2760083705.

Adding to 212003000 its reverse (300212), we get a palindrome (212303212).

The spelling of 212003000 in words is "two hundred twelve million, three thousand".