12001222121100 has 36 divisors (see below), whose sum is σ = 34723536004584. Its totient is φ = 3200325898880.

The previous prime is 12001222121071. The next prime is 12001222121107. The reversal of 12001222121100 is 112122210021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12001222121100.

It is not an unprimeable number, because it can be changed into a prime (12001222121107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20002036569 + ... + 20002037168.

It is an arithmetic number, because the mean of its divisors is an integer number (964542666794).

Almost surely, 2^{12001222121100} is an apocalyptic number.

12001222121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001222121100 is an abundant number, since it is smaller than the sum of its proper divisors (22722313883484).

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

12001222121100 is a wasteful number, since it uses less digits than its factorization.

12001222121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40004073754 (or 40004073747 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12001222121100 its reverse (112122210021), we get a palindrome (12113344331121).

The spelling of 12001222121100 in words is "twelve trillion, one billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred".