212884128 has 144 divisors (see below), whose sum is σ = 636854400. Its totient is φ = 67361280.

The previous prime is 212884121. The next prime is 212884169. The reversal of 212884128 is 821488212.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 212884092 and 212884101.

It is not an unprimeable number, because it can be changed into a prime (212884121) by changing a digit.

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, 592813 + ... + 593171.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^212884128 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 212884128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427200).

212884128 is an abundant number, since it is smaller than the sum of its proper divisors (423970272).

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

212884128 is a wasteful number, since it uses less digits than its factorization.

212884128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 212884128 is about 14590.5492699898. The cubic root of 212884128 is about 597.1009483932.

The spelling of 212884128 in words is "two hundred twelve million, eight hundred eighty-four thousand, one hundred twenty-eight".