2301333222120 has 128 divisors (see below), whose sum is σ = 6992345088000. Its totient is φ = 605838055680.

The previous prime is 2301333222107. The next prime is 2301333222121. The reversal of 2301333222120 is 212223331032.

It is a super-2 number, since 2×2301333222120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2301333222121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104069865 + ... + 104091975.

It is an arithmetic number, because the mean of its divisors is an integer number (54627696000).

Almost surely, 2^{2301333222120} is an apocalyptic number.

2301333222120 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 2301333222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496172544000).

2301333222120 is an abundant number, since it is smaller than the sum of its proper divisors (4691011865880).

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

2301333222120 is a wasteful number, since it uses less digits than its factorization.

2301333222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33183 (or 33179 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2301333222120 its reverse (212223331032), we get a palindrome (2513556553152).

The spelling of 2301333222120 in words is "two trillion, three hundred one billion, three hundred thirty-three million, two hundred twenty-two thousand, one hundred twenty".