12002003101312 has 128 divisors (see below), whose sum is σ = 27845488661760. Its totient is φ = 5045954813952.

The previous prime is 12002003101279. The next prime is 12002003101339. The reversal of 12002003101312 is 21310130020021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12002003101312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466936653 + ... + 466962355.

It is an arithmetic number, because the mean of its divisors is an integer number (217542880170).

Almost surely, 2^{12002003101312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002003101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13922744330880).

12002003101312 is an abundant number, since it is smaller than the sum of its proper divisors (15843485560448).

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

12002003101312 is an equidigital number, since it uses as much as digits as its factorization.

12002003101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35610 (or 35598 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12002003101312 its reverse (21310130020021), we get a palindrome (33312133121333).

The spelling of 12002003101312 in words is "twelve trillion, two billion, three million, one hundred one thousand, three hundred twelve".