12301011222120 has 96 divisors (see below), whose sum is σ = 41058780745320. Its totient is φ = 3191613719040.

The previous prime is 12301011222107. The next prime is 12301011222161. The reversal of 12301011222120 is 2122211010321.

12301011222120 is a `hidden beast` number, since 1 + 230 + 101 + 122 + 212 + 0 = 666.

12301011222120 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 4 ways, for example, as 11058192048996 + 1242819173124 = 3325386^2 + 1114818^2 .

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 = 12301011222093 and 12301011222102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461736351 + ... + 461762990.

Almost surely, 2^{12301011222120} is an apocalyptic number.

12301011222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12301011222120 is an abundant number, since it is smaller than the sum of its proper divisors (28757769523200).

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

12301011222120 is a wasteful number, since it uses less digits than its factorization.

12301011222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923499395 (or 923499388 counting only the distinct ones).

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

Adding to 12301011222120 its reverse (2122211010321), we get a palindrome (14423222232441).

The spelling of 12301011222120 in words is "twelve trillion, three hundred one billion, eleven million, two hundred twenty-two thousand, one hundred twenty".