212799312 has 300 divisors, whose sum is σ = 718391520. Its totient is φ = 60635520.

The previous prime is 212799299. The next prime is 212799313. The reversal of 212799312 is 213997212.

212799312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212799313) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3606739 + ... + 3606797.

Almost surely, 2^212799312 is an apocalyptic number.

212799312 is a gapful number since it is divisible by the number (22) 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 212799312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359195760).

212799312 is an abundant number, since it is smaller than the sum of its proper divisors (505592208).

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

212799312 is a wasteful number, since it uses less digits than its factorization.

212799312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 212799312 is about 14587.6424414639. The cubic root of 212799312 is about 597.0216400832.

The spelling of 212799312 in words is "two hundred twelve million, seven hundred ninety-nine thousand, three hundred twelve".