2112201120 has 288 divisors, whose sum is σ = 7266853440. Its totient is φ = 514252800.

The previous prime is 2112201097. The next prime is 2112201127. The reversal of 2112201120 is 211022112.

It is a super-2 number, since 2×2112201120² = 8922787142658508800, which contains 22 as substring.

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 = 2112201096 and 2112201105.

It is not an unprimeable number, because it can be changed into a prime (2112201127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8764200 + ... + 8764440.

It is an arithmetic number, because the mean of its divisors is an integer number (25232130).

Almost surely, 2^2112201120 is an apocalyptic number.

2112201120 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 2112201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633426720).

2112201120 is an abundant number, since it is smaller than the sum of its proper divisors (5154652320).

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

2112201120 is a wasteful number, since it uses less digits than its factorization.

2112201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 301 counting only the distinct ones).

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

The square root of 2112201120 is about 45958.6892763490. The cubic root of 2112201120 is about 1283.0544566718.

Adding to 2112201120 its reverse (211022112), we get a palindrome (2323223232).

The spelling of 2112201120 in words is "two billion, one hundred twelve million, two hundred one thousand, one hundred twenty".