2012112210000 has 200 divisors, whose sum is σ = 6558438377920. Its totient is φ = 531353088000.

The previous prime is 2012112209957. The next prime is 2012112210047. The reversal of 2012112210000 is 122112102.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2764416 + ... + 3415584.

Almost surely, 2^{2012112210000} is an apocalyptic number.

2012112210000 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 2012112210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279219188960).

2012112210000 is an abundant number, since it is smaller than the sum of its proper divisors (4546326167920).

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

2012112210000 is a wasteful number, since it uses less digits than its factorization.

2012112210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651303 (or 651282 counting only the distinct ones).

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

Adding to 2012112210000 its reverse (122112102), we get a palindrome (2012234322102).

The spelling of 2012112210000 in words is "two trillion, twelve billion, one hundred twelve million, two hundred ten thousand".