212838912 has 480 divisors, whose sum is σ = 804323520. Its totient is φ = 53084160.

The previous prime is 212838841. The next prime is 212838947. The reversal of 212838912 is 219838212.

It is a super-2 number, since 2×212838912² = 90600804922687488, which contains 22 as substring.

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 zygodrome in base 3.

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, 11202039 + ... + 11202057.

It is an arithmetic number, because the mean of its divisors is an integer number (1675674).

Almost surely, 2^212838912 is an apocalyptic number.

212838912 is a gapful number since it is divisible by the number (22) 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 212838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

212838912 is an abundant number, since it is smaller than the sum of its proper divisors (591484608).

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

212838912 is a wasteful number, since it uses less digits than its factorization.

212838912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 212838912 is about 14588.9996915484. Note that the first 3 decimals coincide. The cubic root of 212838912 is about 597.0586712032.

The spelling of 212838912 in words is "two hundred twelve million, eight hundred thirty-eight thousand, nine hundred twelve".