211220201120 has 48 divisors (see below), whose sum is σ = 503948434248. Its totient is φ = 83651558400.

The previous prime is 211220201111. The next prime is 211220201123. The reversal of 211220201120 is 21102022112.

211220201120 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 161253646096 + 49966555024 = 401564^2 + 223532^2 .

It is a super-2 number, since 2×211220201120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220201095 and 211220201104.

It is not an unprimeable number, because it can be changed into a prime (211220201123) 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, 6519119 + ... + 6551438.

Almost surely, 2^211220201120 is an apocalyptic number.

211220201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220201120 is an abundant number, since it is smaller than the sum of its proper divisors (292728233128).

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

211220201120 is a wasteful number, since it uses less digits than its factorization.

211220201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13070673 (or 13070665 counting only the distinct ones).

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

Adding to 211220201120 its reverse (21102022112), we get a palindrome (232322223232).

The spelling of 211220201120 in words is "two hundred eleven billion, two hundred twenty million, two hundred one thousand, one hundred twenty".