12100333122 has 64 divisors (see below), whose sum is σ = 28555632000. Its totient is φ = 3787305984.

The previous prime is 12100333099. The next prime is 12100333123. The reversal of 12100333122 is 22133300121.

12100333122 is a `hidden beast` number, since 1 + 210 + 0 + 333 + 122 = 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 = 12100333095 and 12100333104.

It is not an unprimeable number, because it can be changed into a prime (12100333123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63754 + ... + 168122.

It is an arithmetic number, because the mean of its divisors is an integer number (446181750).

Almost surely, 2^12100333122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100333122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14277816000).

12100333122 is an abundant number, since it is smaller than the sum of its proper divisors (16455298878).

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

12100333122 is a wasteful number, since it uses less digits than its factorization.

12100333122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104512 (or 104506 counting only the distinct ones).

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

Adding to 12100333122 its reverse (22133300121), we get a palindrome (34233633243).

The spelling of 12100333122 in words is "twelve billion, one hundred million, three hundred thirty-three thousand, one hundred twenty-two".