12012000012012 has 648 divisors, whose sum is σ = 40849448270400. Its totient is φ = 2728369163520.

The previous prime is 12012000012011. The next prime is 12012000012049. The reversal of 12012000012012 is 21021000021021.

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 (12012000012011) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 228429939 + ... + 228482517.

Almost surely, 2^{12012000012012} is an apocalyptic number.

12012000012012 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 12012000012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20424724135200).

12012000012012 is an abundant number, since it is smaller than the sum of its proper divisors (28837448258388).

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

12012000012012 is a wasteful number, since it uses less digits than its factorization.

12012000012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52667 (or 52634 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

12012000012012 divided by its sum of digits (12) gives a palindrome (1001000001001).

Adding to 12012000012012 its reverse (21021000021021), we get a palindrome (33033000033033).

Subtracting 12012000012012 from its reverse (21021000021021), we obtain a palindrome (9009000009009).

It can be divided in two parts, 120120000 and 12012, that multiplied together give a square (1442881440000 = 1201200²).

The spelling of 12012000012012 in words is "twelve trillion, twelve billion, twelve thousand, twelve".