211114110420 has 72 divisors (see below), whose sum is σ = 640724589960. Its totient is φ = 56266755840.

The previous prime is 211114110397. The next prime is 211114110433. The reversal of 211114110420 is 24011411112.

211114110420 is a `hidden beast` number, since 21 + 1 + 114 + 110 + 420 = 666.

211114110420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24339744144 + 186774366276 = 156012^2 + 432174^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 211114110393 and 211114110402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19866 + ... + 650094.

Almost surely, 2^211114110420 is an apocalyptic number.

211114110420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211114110420 is an abundant number, since it is smaller than the sum of its proper divisors (429610479540).

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

211114110420 is a wasteful number, since it uses less digits than its factorization.

211114110420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632105 (or 632100 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211114110420 its reverse (24011411112), we get a palindrome (235125521532).

The spelling of 211114110420 in words is "two hundred eleven billion, one hundred fourteen million, one hundred ten thousand, four hundred twenty".