2012011210000 has 200 divisors, whose sum is σ = 5317105156704. Its totient is φ = 731230080000.

The previous prime is 2012011209997. The next prime is 2012011210057. The reversal of 2012011210000 is 121102102.

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 (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 252666019 + ... + 252673981.

Almost surely, 2^{2012011210000} is an apocalyptic number.

2012011210000 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 2012011210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658552578352).

2012011210000 is an abundant number, since it is smaller than the sum of its proper divisors (3305093946704).

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

2012011210000 is a wasteful number, since it uses less digits than its factorization.

2012011210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299 (or 10278 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2012011210000 its reverse (121102102), we get a palindrome (2012132312102).

The spelling of 2012011210000 in words is "two trillion, twelve billion, eleven million, two hundred ten thousand".