12002012013312 has 288 divisors, whose sum is σ = 36031529963520. Its totient is φ = 3940277760000.

The previous prime is 12002012013301. The next prime is 12002012013347. The reversal of 12002012013312 is 21331021020021.

12002012013312 is a `hidden beast` number, since 1 + 200 + 20 + 120 + 13 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133294387 + ... + 133384397.

It is an arithmetic number, because the mean of its divisors is an integer number (125109479040).

Almost surely, 2^{12002012013312} is an apocalyptic number.

12002012013312 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 12002012013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18015764981760).

12002012013312 is an abundant number, since it is smaller than the sum of its proper divisors (24029517950208).

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

12002012013312 is a wasteful number, since it uses less digits than its factorization.

12002012013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90328 (or 90308 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12002012013312 its reverse (21331021020021), we get a palindrome (33333033033333).

The spelling of 12002012013312 in words is "twelve trillion, two billion, twelve million, thirteen thousand, three hundred twelve".