212503200 has 432 divisors, whose sum is σ = 872756640. Its totient is φ = 44513280.

The previous prime is 212503183. The next prime is 212503217. The reversal of 212503200 is 2305212.

It is an interprime number because it is at equal distance from previous prime (212503183) and next prime (212503217).

It is a super-2 number, since 2×212503200² = 90315220020480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212503200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1528731 + ... + 1528869.

It is an arithmetic number, because the mean of its divisors is an integer number (2020270).

Almost surely, 2^212503200 is an apocalyptic number.

212503200 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 212503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436378320).

212503200 is an abundant number, since it is smaller than the sum of its proper divisors (660253440).

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

212503200 is a wasteful number, since it uses less digits than its factorization.

212503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 212503200 is about 14577.4894957945. The cubic root of 212503200 is about 596.7445913574.

Adding to 212503200 its reverse (2305212), we get a palindrome (214808412).

The spelling of 212503200 in words is "two hundred twelve million, five hundred three thousand, two hundred".