212355780 has 384 divisors, whose sum is σ = 812851200. Its totient is φ = 40144896.

The previous prime is 212355779. The next prime is 212355841. The reversal of 212355780 is 87553212.

212355780 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 (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2385976 + ... + 2386064.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^212355780 is an apocalyptic number.

212355780 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 212355780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406425600).

212355780 is an abundant number, since it is smaller than the sum of its proper divisors (600495420).

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

212355780 is a wasteful number, since it uses less digits than its factorization.

212355780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 212355780 is about 14572.4321923281. The cubic root of 212355780 is about 596.6065660814.

It can be divided in two parts, 212355 and 780, that multiplied together give a square (165636900 = 12870²).

The spelling of 212355780 in words is "two hundred twelve million, three hundred fifty-five thousand, seven hundred eighty".