211210211120 has 80 divisors (see below), whose sum is σ = 495750198528. Its totient is φ = 83681068800.

The previous prime is 211210211087. The next prime is 211210211143. The reversal of 211210211120 is 21112012112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 211210211095 and 211210211104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4166567 + ... + 4216953.

Almost surely, 2^211210211120 is an apocalyptic number.

211210211120 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 211210211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247875099264).

211210211120 is an abundant number, since it is smaller than the sum of its proper divisors (284539987408).

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

211210211120 is a wasteful number, since it uses less digits than its factorization.

211210211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50898 (or 50892 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211210211120 its reverse (21112012112), we get a palindrome (232322223232).

The spelling of 211210211120 in words is "two hundred eleven billion, two hundred ten million, two hundred eleven thousand, one hundred twenty".