2300122201120 has 24 divisors (see below), whose sum is σ = 5434038700524. Its totient is φ = 920048880384.

The previous prime is 2300122201109. The next prime is 2300122201159. The reversal of 2300122201120 is 211022210032.

It is a happy number.

2300122201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2288963236624 + 11158964496 = 1512932^2 + 105636^2 .

It is a super-3 number, since 3×2300122201120³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 2300122201094 and 2300122201103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7187881719 + ... + 7187882038.

Almost surely, 2^{2300122201120} is an apocalyptic number.

2300122201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300122201120 is an abundant number, since it is smaller than the sum of its proper divisors (3133916499404).

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

2300122201120 is a wasteful number, since it uses less digits than its factorization.

2300122201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14375763772 (or 14375763764 counting only the distinct ones).

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

Adding to 2300122201120 its reverse (211022210032), we get a palindrome (2511144411152).

The spelling of 2300122201120 in words is "two trillion, three hundred billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".