12012002100000 has 648 divisors, whose sum is σ = 49667168386836. Its totient is φ = 2745590400000.

The previous prime is 12012002099897. The next prime is 12012002100013. The reversal of 12012002100000 is 120021021.

It can be written as a sum of positive squares in 6 ways, for example, as 2079444752784 + 9932557347216 = 1442028^2 + 3151596^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 43963810 + ... + 44236190.

Almost surely, 2^{12012002100000} is an apocalyptic number.

12012002100000 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 12012002100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24833584193418).

12012002100000 is an abundant number, since it is smaller than the sum of its proper divisors (37655166286836).

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

12012002100000 is an equidigital number, since it uses as much as digits as its factorization.

12012002100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272436 (or 272398 counting only the distinct ones).

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

Adding to 12012002100000 its reverse (120021021), we get a palindrome (12012122121021).

The spelling of 12012002100000 in words is "twelve trillion, twelve billion, two million, one hundred thousand".