12000200100012 has 96 divisors (see below), whose sum is σ = 32750375078400. Its totient is φ = 3789387489600.

The previous prime is 12000200099989. The next prime is 12000200100013. The reversal of 12000200100012 is 21000100200021.

It is a super-3 number, since 3×12000200100012³ (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12000200099967 and 12000200100003.

It is not an unprimeable number, because it can be changed into a prime (12000200100013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59450337 + ... + 59651847.

It is an arithmetic number, because the mean of its divisors is an integer number (341149740400).

Almost surely, 2^{12000200100012} is an apocalyptic number.

12000200100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000200100012 is an abundant number, since it is smaller than the sum of its proper divisors (20750174978388).

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

12000200100012 is a wasteful number, since it uses less digits than its factorization.

12000200100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230564 (or 230556 counting only the distinct ones).

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

Adding to 12000200100012 its reverse (21000100200021), we get a palindrome (33000300300033).

The spelling of 12000200100012 in words is "twelve trillion, two hundred million, one hundred thousand, twelve".