211201120 has 96 divisors (see below), whose sum is σ = 546769440. Its totient is φ = 76615680.

The previous prime is 211201103. The next prime is 211201121. The reversal of 211201120 is 21102112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211201097 and 211201106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121860 + ... + 123580.

It is an arithmetic number, because the mean of its divisors is an integer number (5695515).

Almost surely, 2^211201120 is an apocalyptic number.

211201120 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 211201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273384720).

211201120 is an abundant number, since it is smaller than the sum of its proper divisors (335568320).

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

211201120 is a wasteful number, since it uses less digits than its factorization.

211201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 211201120 is about 14532.7602333487. The cubic root of 211201120 is about 595.5232738705.

Adding to 211201120 its reverse (21102112), we get a palindrome (232303232).

The spelling of 211201120 in words is "two hundred eleven million, two hundred one thousand, one hundred twenty".