211404120 has 64 divisors (see below), whose sum is σ = 647723520. Its totient is φ = 55173504.

The previous prime is 211404107. The next prime is 211404173. The reversal of 211404120 is 21404112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211404120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13102 + ... + 24381.

It is an arithmetic number, because the mean of its divisors is an integer number (10120680).

Almost surely, 2^211404120 is an apocalyptic number.

211404120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211404120 is an abundant number, since it is smaller than the sum of its proper divisors (436319400).

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

211404120 is a wasteful number, since it uses less digits than its factorization.

211404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37544 (or 37540 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 211404120 is about 14539.7427762667. The cubic root of 211404120 is about 595.7140123049.

Adding to 211404120 its reverse (21404112), we get a palindrome (232808232).

The spelling of 211404120 in words is "two hundred eleven million, four hundred four thousand, one hundred twenty".