211404112 has 20 divisors (see below), whose sum is σ = 433689876. Its totient is φ = 99484160.

The previous prime is 211404107. The next prime is 211404173.

It is a happy number.

211404112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 77862976 + 133541136 = 8824^2 + 11556^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 388339 + ... + 388882.

Almost surely, 2^211404112 is an apocalyptic number.

It is an amenable number.

211404112 is an abundant number, since it is smaller than the sum of its proper divisors (222285764).

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

211404112 is a wasteful number, since it uses less digits than its factorization.

211404112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777246 (or 777240 counting only the distinct ones).

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

The square root of 211404112 is about 14539.7425011587. The cubic root of 211404112 is about 595.7140047906.

It can be divided in two parts, 21140 and 4112, that added together give a palindrome (25252).

The spelling of 211404112 in words is "two hundred eleven million, four hundred four thousand, one hundred twelve".