12002002311312 has 60 divisors (see below), whose sum is σ = 36172701416124. Its totient is φ = 3692923787520.

The previous prime is 12002002311307. The next prime is 12002002311379. The reversal of 12002002311312 is 21311320020021.

12002002311312 is a `hidden beast` number, since 1 + 20 + 0 + 20 + 0 + 2 + 311 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2982335579136 + 9019666732176 = 1726944^2 + 3003276^2 .

It is a super-2 number, since 2×12002002311312² (a number of 27 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 3205661139 + ... + 3205664882.

Almost surely, 2^{12002002311312} is an apocalyptic number.

12002002311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002002311312 is an abundant number, since it is smaller than the sum of its proper divisors (24170699104812).

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

12002002311312 is a wasteful number, since it uses less digits than its factorization.

12002002311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411326048 (or 6411326039 counting only the distinct ones).

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

Adding to 12002002311312 its reverse (21311320020021), we get a palindrome (33313322331333).

The spelling of 12002002311312 in words is "twelve trillion, two billion, two million, three hundred eleven thousand, three hundred twelve".