211220314420 has 24 divisors (see below), whose sum is σ = 443595366144. Its totient is φ = 84481896096.

The previous prime is 211220314387. The next prime is 211220314427. The reversal of 211220314420 is 24413022112.

211220314420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211220314420² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220314391 and 211220314400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220314427) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 106312 + ... + 658591.

It is an arithmetic number, because the mean of its divisors is an integer number (18483140256).

Almost surely, 2^211220314420 is an apocalyptic number.

211220314420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220314420 is an abundant number, since it is smaller than the sum of its proper divisors (232375051724).

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

211220314420 is a wasteful number, since it uses less digits than its factorization.

211220314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778719 (or 778717 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 211220314420 its reverse (24413022112), we get a palindrome (235633336532).

The spelling of 211220314420 in words is "two hundred eleven billion, two hundred twenty million, three hundred fourteen thousand, four hundred twenty".