211112420 has 48 divisors (see below), whose sum is σ = 468115200. Its totient is φ = 79752960.

The previous prime is 211112389. The next prime is 211112437. The reversal of 211112420 is 24211112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211112395 and 211112404.

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, 163136 + ... + 164424.

It is an arithmetic number, because the mean of its divisors is an integer number (9752400).

Almost surely, 2^211112420 is an apocalyptic number.

211112420 is a gapful number since it is divisible by the number (20) 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 211112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234057600).

211112420 is an abundant number, since it is smaller than the sum of its proper divisors (257002780).

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

211112420 is a wasteful number, since it uses less digits than its factorization.

211112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 211112420 is about 14529.7081870215. The cubic root of 211112420 is about 595.4398931400.

Adding to 211112420 its reverse (24211112), we get a palindrome (235323532).

The spelling of 211112420 in words is "two hundred eleven million, one hundred twelve thousand, four hundred twenty".