2012012112000 has 1024 divisors, whose sum is σ = 7607438092800. Its totient is φ = 465920000000.

The previous prime is 2012012111959. The next prime is 2012012112001. The reversal of 2012012112000 is 2112102102.

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 (2012012112001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1546511350 + ... + 1546512650.

Almost surely, 2^{2012012112000} is an apocalyptic number.

2012012112000 is a gapful number since it is divisible by the number (20) 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 2012012112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803719046400).

2012012112000 is an abundant number, since it is smaller than the sum of its proper divisors (5595425980800).

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

2012012112000 is a wasteful number, since it uses less digits than its factorization.

2012012112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1452 counting only the distinct ones).

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

Adding to 2012012112000 its reverse (2112102102), we get a palindrome (2014124214102).

The spelling of 2012012112000 in words is "two trillion, twelve billion, twelve million, one hundred twelve thousand".