212899200 has 192 divisors, whose sum is σ = 713853120. Its totient is φ = 55756800.

The previous prime is 212899151. The next prime is 212899223. The reversal of 212899200 is 2998212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643035 + ... + 643365.

It is an arithmetic number, because the mean of its divisors is an integer number (3717985).

Almost surely, 2^212899200 is an apocalyptic number.

212899200 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 212899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356926560).

212899200 is an abundant number, since it is smaller than the sum of its proper divisors (500953920).

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

212899200 is a wasteful number, since it uses less digits than its factorization.

212899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 212899200 is about 14591.0657595667. The cubic root of 212899200 is about 597.1150394596.

The spelling of 212899200 in words is "two hundred twelve million, eight hundred ninety-nine thousand, two hundred".