12133103220 has 288 divisors, whose sum is σ = 44412076800. Its totient is φ = 2619205632.

The previous prime is 12133103219. The next prime is 12133103243. The reversal of 12133103220 is 2230133121.

12133103220 is a `hidden beast` number, since 12 + 1 + 331 + 0 + 322 + 0 = 666.

12133103220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12133103193 and 12133103202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10940026 + ... + 10941134.

It is an arithmetic number, because the mean of its divisors is an integer number (154208600).

Almost surely, 2^12133103220 is an apocalyptic number.

12133103220 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 12133103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22206038400).

12133103220 is an abundant number, since it is smaller than the sum of its proper divisors (32278973580).

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

12133103220 is a wasteful number, since it uses less digits than its factorization.

12133103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12133103220 its reverse (2230133121), we get a palindrome (14363236341).

The spelling of 12133103220 in words is "twelve billion, one hundred thirty-three million, one hundred three thousand, two hundred twenty".