212830128 has 240 divisors, whose sum is σ = 722176000. Its totient is φ = 58423680.

The previous prime is 212830099. The next prime is 212830141. The reversal of 212830128 is 821038212.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1531083 + ... + 1531221.

Almost surely, 2^212830128 is an apocalyptic number.

212830128 is a gapful number since it is divisible by the number (28) 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 212830128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361088000).

212830128 is an abundant number, since it is smaller than the sum of its proper divisors (509345872).

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

212830128 is a wasteful number, since it uses less digits than its factorization.

212830128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 212830128 is about 14588.6986397005. The cubic root of 212830128 is about 597.0504574240.

The spelling of 212830128 in words is "two hundred twelve million, eight hundred thirty thousand, one hundred twenty-eight".