2116221120 has 448 divisors, whose sum is σ = 8172541440. Its totient is φ = 512372736.

The previous prime is 2116221119. The next prime is 2116221139. The reversal of 2116221120 is 211226112.

2116221120 is a `hidden beast` number, since 2 + 11 + 622 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2116221093 and 2116221102.

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, 9322447 + ... + 9322673.

It is an arithmetic number, because the mean of its divisors is an integer number (18242280).

Almost surely, 2^2116221120 is an apocalyptic number.

2116221120 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 2116221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086270720).

2116221120 is an abundant number, since it is smaller than the sum of its proper divisors (6056320320).

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

2116221120 is a wasteful number, since it uses less digits than its factorization.

2116221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2116221120 is about 46002.4034154738. The cubic root of 2116221120 is about 1283.8679224787.

Adding to 2116221120 its reverse (211226112), we get a palindrome (2327447232).

The spelling of 2116221120 in words is "two billion, one hundred sixteen million, two hundred twenty-one thousand, one hundred twenty".