12001122100 has 108 divisors (see below), whose sum is σ = 28678664448. Its totient is φ = 4323032000.

The previous prime is 12001122097. The next prime is 12001122143. The reversal of 12001122100 is 122110021.

12001122100 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 (10).

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 35 ways as a sum of consecutive naturals, for example, 50213781 + ... + 50214019.

Almost surely, 2^12001122100 is an apocalyptic number.

12001122100 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 12001122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14339332224).

12001122100 is an abundant number, since it is smaller than the sum of its proper divisors (16677542348).

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

12001122100 is a wasteful number, since it uses less digits than its factorization.

12001122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12001122100 its reverse (122110021), we get a palindrome (12123232121).

The spelling of 12001122100 in words is "twelve billion, one million, one hundred twenty-two thousand, one hundred".