211412124 has 144 divisors (see below), whose sum is σ = 679311360. Its totient is φ = 53838720.

The previous prime is 211412081. The next prime is 211412143. The reversal of 211412124 is 421214112.

211412124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 211412097 and 211412106.

It is a congruent number.

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, 146197 + ... + 147635.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^211412124 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 211412124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

211412124 is an abundant number, since it is smaller than the sum of its proper divisors (467899236).

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

211412124 is a wasteful number, since it uses less digits than its factorization.

211412124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1515 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 211412124 is about 14540.0180192461. The cubic root of 211412124 is about 595.7215303463.

Adding to 211412124 its reverse (421214112), we get a palindrome (632626236).

The spelling of 211412124 in words is "two hundred eleven million, four hundred twelve thousand, one hundred twenty-four".