2201121120 has 384 divisors, whose sum is σ = 8190927360. Its totient is φ = 491028480.

The previous prime is 2201121113. The next prime is 2201121173. The reversal of 2201121120 is 211211022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2201121096 and 2201121105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3711544 + ... + 3712136.

It is an arithmetic number, because the mean of its divisors is an integer number (21330540).

Almost surely, 2^2201121120 is an apocalyptic number.

2201121120 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 2201121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095463680).

2201121120 is an abundant number, since it is smaller than the sum of its proper divisors (5989806240).

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

2201121120 is a wasteful number, since it uses less digits than its factorization.

2201121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2201121120 is about 46916.1072553979. The cubic root of 2201121120 is about 1300.8123364676.

Adding to 2201121120 its reverse (211211022), we get a palindrome (2412332142).

It can be divided in two parts, 2201 and 121120, that added together give a palindrome (123321).

The spelling of 2201121120 in words is "two billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty".