212105600 has 192 divisors, whose sum is σ = 635182560. Its totient is φ = 68321280.

The previous prime is 212105591. The next prime is 212105657. The reversal of 212105600 is 6501212.

212105600 is digitally balanced in base 3, because in such base 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 (17).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 380522 + ... + 381078.

Almost surely, 2^212105600 is an apocalyptic number.

212105600 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 212105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317591280).

212105600 is an abundant number, since it is smaller than the sum of its proper divisors (423076960).

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

212105600 is a wasteful number, since it uses less digits than its factorization.

212105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 212105600 is about 14563.8456459824. The cubic root of 212105600 is about 596.3721831919.

Adding to 212105600 its reverse (6501212), we get a palindrome (218606812).

The spelling of 212105600 in words is "two hundred twelve million, one hundred five thousand, six hundred".