212002500 has 120 divisors (see below), whose sum is σ = 645543360. Its totient is φ = 54032000.

The previous prime is 212002471. The next prime is 212002519. The reversal of 212002500 is 5200212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 171886 + ... + 173114.

It is an arithmetic number, because the mean of its divisors is an integer number (5379528).

Almost surely, 2^212002500 is an apocalyptic number.

212002500 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 212002500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322771680).

212002500 is an abundant number, since it is smaller than the sum of its proper divisors (433540860).

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

212002500 is a wasteful number, since it uses less digits than its factorization.

212002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 212002500 is about 14560.3056286604. The cubic root of 212002500 is about 596.2755396063.

Adding to 212002500 its reverse (5200212), we get a palindrome (217202712).

The spelling of 212002500 in words is "two hundred twelve million, two thousand, five hundred".