12122012020100 has 72 divisors (see below), whose sum is σ = 26457599787528. Its totient is φ = 4820647910400.

The previous prime is 12122012020039. The next prime is 12122012020109. The reversal of 12122012020100 is 102021022121.

It can be written as a sum of positive squares in 12 ways, for example, as 9956687998084 + 2165324022016 = 3155422^2 + 1471504^2 .

It is not an unprimeable number, because it can be changed into a prime (12122012020109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64940102 + ... + 65126498.

Almost surely, 2^{12122012020100} is an apocalyptic number.

12122012020100 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 12122012020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228799893764).

12122012020100 is an abundant number, since it is smaller than the sum of its proper divisors (14335587767428).

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

12122012020100 is a wasteful number, since it uses less digits than its factorization.

12122012020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190185 (or 190178 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12122012020100 its reverse (102021022121), we get a palindrome (12224033042221).

The spelling of 12122012020100 in words is "twelve trillion, one hundred twenty-two billion, twelve million, twenty thousand, one hundred".