212705700 has 144 divisors (see below), whose sum is σ = 658082880. Its totient is φ = 52858880.

The previous prime is 212705687. The next prime is 212705737. The reversal of 212705700 is 7507212.

212705700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 912784 + ... + 913016.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2^212705700 is an apocalyptic number.

212705700 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 212705700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329041440).

212705700 is an abundant number, since it is smaller than the sum of its proper divisors (445377180).

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

212705700 is a wasteful number, since it uses less digits than its factorization.

212705700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 212705700 is about 14584.4334823126. The cubic root of 212705700 is about 596.9340824897.

The spelling of 212705700 in words is "two hundred twelve million, seven hundred five thousand, seven hundred".