212128 has 24 divisors (see below), whose sum is σ = 477792. Its totient is φ = 90816.

The previous prime is 212123. The next prime is 212131. The reversal of 212128 is 821212.

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (19908).

2²¹²¹²⁸ is an apocalyptic number.

212128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212128 is an abundant number, since it is smaller than the sum of its proper divisors (265664).

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

212128 is an equidigital number, since it uses as much as digits as its factorization.

212128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 956 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 212128 is about 460.5735554719. The cubic root of 212128 is about 59.6393176299.

The spelling of 212128 in words is "two hundred twelve thousand, one hundred twenty-eight".