2301221120 has 144 divisors (see below), whose sum is σ = 6043306752. Its totient is φ = 832634880.

The previous prime is 2301221107. The next prime is 2301221141. The reversal of 2301221120 is 211221032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2301221095 and 2301221104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4970009 + ... + 4970471.

It is an arithmetic number, because the mean of its divisors is an integer number (41967408).

Almost surely, 2^2301221120 is an apocalyptic number.

2301221120 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 2301221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021653376).

2301221120 is an abundant number, since it is smaller than the sum of its proper divisors (3742085632).

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

2301221120 is a wasteful number, since it uses less digits than its factorization.

2301221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2301221120 is about 47971.0445998417. The cubic root of 2301221120 is about 1320.2396871144.

Adding to 2301221120 its reverse (211221032), we get a palindrome (2512442152).

The spelling of 2301221120 in words is "two billion, three hundred one million, two hundred twenty-one thousand, one hundred twenty".