12233200110120 has 256 divisors, whose sum is σ = 44491318675200. Its totient is φ = 2965160632320.

The previous prime is 12233200110017. The next prime is 12233200110133. The reversal of 12233200110120 is 2101100233221.

12233200110120 is a `hidden beast` number, since 1 + 2 + 233 + 200 + 110 + 120 = 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 = 12233200110093 and 12233200110102.

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, 79198084 + ... + 79352396.

It is an arithmetic number, because the mean of its divisors is an integer number (173794213575).

Almost surely, 2^{12233200110120} is an apocalyptic number.

12233200110120 is a gapful number since it is divisible by the number (10) 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 12233200110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22245659337600).

12233200110120 is an abundant number, since it is smaller than the sum of its proper divisors (32258118565080).

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

12233200110120 is a wasteful number, since it uses less digits than its factorization.

12233200110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161017 (or 161007 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12233200110120 its reverse (2101100233221), we get a palindrome (14334300343341).

The spelling of 12233200110120 in words is "twelve trillion, two hundred thirty-three billion, two hundred million, one hundred ten thousand, one hundred twenty".