211312420 has 48 divisors (see below), whose sum is σ = 487380096. Its totient is φ = 76320000.

The previous prime is 211312417. The next prime is 211312427. The reversal of 211312420 is 24213112.

It is a junction number, because it is equal to n+sod(n) for n = 211312394 and 211312403.

It is not an unprimeable number, because it can be changed into a prime (211312427) by changing a digit.

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, 30040 + ... + 36400.

It is an arithmetic number, because the mean of its divisors is an integer number (10153752).

Almost surely, 2^211312420 is an apocalyptic number.

211312420 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 211312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243690048).

211312420 is an abundant number, since it is smaller than the sum of its proper divisors (276067676).

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

211312420 is a wasteful number, since it uses less digits than its factorization.

211312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6532 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 211312420 is about 14536.5890084297. The cubic root of 211312420 is about 595.6278662776.

Adding to 211312420 its reverse (24213112), we get a palindrome (235525532).

The spelling of 211312420 in words is "two hundred eleven million, three hundred twelve thousand, four hundred twenty".