12000001022100 has 576 divisors, whose sum is σ = 47513238958080. Its totient is φ = 2530114444800.

The previous prime is 12000001022083. The next prime is 12000001022111. The reversal of 12000001022100 is 122010000021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 371236539 + ... + 371268861.

It is an arithmetic number, because the mean of its divisors is an integer number (82488262080).

Almost surely, 2^{12000001022100} is an apocalyptic number.

12000001022100 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 12000001022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23756619479040).

12000001022100 is an abundant number, since it is smaller than the sum of its proper divisors (35513237935980).

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

12000001022100 is a wasteful number, since it uses less digits than its factorization.

12000001022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33877 (or 33864 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000001022100 its reverse (122010000021), we get a palindrome (12122011022121).

The spelling of 12000001022100 in words is "twelve trillion, one million, twenty-two thousand, one hundred".