12002000122112 has 144 divisors (see below), whose sum is σ = 32166200314752. Its totient is φ = 4316403548160.

The previous prime is 12002000122081. The next prime is 12002000122117. The reversal of 12002000122112 is 21122100020021.

It is a super-3 number, since 3×12002000122112³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12002000122117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23161733 + ... + 23674244.

Almost surely, 2^{12002000122112} is an apocalyptic number.

It is an amenable number.

12002000122112 is an abundant number, since it is smaller than the sum of its proper divisors (20164200192640).

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

12002000122112 is a wasteful number, since it uses less digits than its factorization.

12002000122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46836024 (or 46836010 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12002000122112 its reverse (21122100020021), we get a palindrome (33124100142133).

The spelling of 12002000122112 in words is "twelve trillion, two billion, one hundred twenty-two thousand, one hundred twelve".