212686128 has 80 divisors (see below), whose sum is σ = 613398240. Its totient is φ = 70557696.

The previous prime is 212686079. The next prime is 212686151. The reversal of 212686128 is 821686212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212686092 and 212686101.

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 15 ways as a sum of consecutive naturals, for example, 99600 + ... + 101712.

It is an arithmetic number, because the mean of its divisors is an integer number (7667478).

Almost surely, 2^212686128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212686128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306699120).

212686128 is an abundant number, since it is smaller than the sum of its proper divisors (400712112).

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

212686128 is a wasteful number, since it uses less digits than its factorization.

212686128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2351 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 212686128 is about 14583.7624774953. The cubic root of 212686128 is about 596.9157730724.

The spelling of 212686128 in words is "two hundred twelve million, six hundred eighty-six thousand, one hundred twenty-eight".