212300352 has 336 divisors, whose sum is σ = 738908352. Its totient is φ = 59719680.

The previous prime is 212300321. The next prime is 212300359. The reversal of 212300352 is 253003212.

212300352 is a `hidden beast` number, since 2 + 12 + 300 + 352 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (212300359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2908188 + ... + 2908260.

It is an arithmetic number, because the mean of its divisors is an integer number (2199132).

Almost surely, 2^212300352 is an apocalyptic number.

212300352 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 212300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369454176).

212300352 is an abundant number, since it is smaller than the sum of its proper divisors (526608000).

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

212300352 is a wasteful number, since it uses less digits than its factorization.

212300352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 212300352 is about 14570.5302580242. The cubic root of 212300352 is about 596.5546538514.

Adding to 212300352 its reverse (253003212), we get a palindrome (465303564).

The spelling of 212300352 in words is "two hundred twelve million, three hundred thousand, three hundred fifty-two".