12001001112012 has 144 divisors (see below), whose sum is σ = 32121648599040. Its totient is φ = 3478119406080.

The previous prime is 12001001111903. The next prime is 12001001112019. The reversal of 12001001112012 is 21021110010021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12001001112019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352611348 + ... + 352645380.

It is an arithmetic number, because the mean of its divisors is an integer number (223067004160).

Almost surely, 2^{12001001112012} is an apocalyptic number.

12001001112012 is a gapful number since it is divisible by the number (12) 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 12001001112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060824299520).

12001001112012 is an abundant number, since it is smaller than the sum of its proper divisors (20120647487028).

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

12001001112012 is a wasteful number, since it uses less digits than its factorization.

12001001112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44644 (or 44631 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001001112012 its reverse (21021110010021), we get a palindrome (33022111122033).

The spelling of 12001001112012 in words is "twelve trillion, one billion, one million, one hundred twelve thousand, twelve".