2123221120 has 128 divisors (see below), whose sum is σ = 5657817600. Its totient is φ = 757186560.

The previous prime is 2123221097. The next prime is 2123221123. The reversal of 2123221120 is 211223212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2123221094 and 2123221103.

It is not an unprimeable number, because it can be changed into a prime (2123221123) 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, 201585 + ... + 211855.

It is an arithmetic number, because the mean of its divisors is an integer number (44201700).

Almost surely, 2^2123221120 is an apocalyptic number.

2123221120 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 2123221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828908800).

2123221120 is an abundant number, since it is smaller than the sum of its proper divisors (3534596480).

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

2123221120 is a wasteful number, since it uses less digits than its factorization.

2123221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10326 (or 10314 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2123221120 is about 46078.4235841462. The cubic root of 2123221120 is about 1285.2819499707.

Adding to 2123221120 its reverse (211223212), we get a palindrome (2334444332).

The spelling of 2123221120 in words is "two billion, one hundred twenty-three million, two hundred twenty-one thousand, one hundred twenty".