212551200 has 216 divisors, whose sum is σ = 765021348. Its totient is φ = 55511040.

The previous prime is 212551189. The next prime is 212551219. The reversal of 212551200 is 2155212.

It can be written as a sum of positive squares in 6 ways, for example, as 51667344 + 160883856 = 7188^2 + 12684^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 381322 + ... + 381878.

Almost surely, 2^212551200 is an apocalyptic number.

212551200 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 212551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382510674).

212551200 is an abundant number, since it is smaller than the sum of its proper divisors (552470148).

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

212551200 is a wasteful number, since it uses less digits than its factorization.

212551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 212551200 is about 14579.1357768559. The cubic root of 212551200 is about 596.7895186558.

The spelling of 212551200 in words is "two hundred twelve million, five hundred fifty-one thousand, two hundred".