2012113323000 has 384 divisors, whose sum is σ = 7447516876800. Its totient is φ = 485924064000.

The previous prime is 2012113322953. The next prime is 2012113323041. The reversal of 2012113323000 is 3233112102.

2012113323000 is a `hidden beast` number, since 20 + 1 + 2 + 11 + 332 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25998361 + ... + 26075639.

It is an arithmetic number, because the mean of its divisors is an integer number (19394575200).

Almost surely, 2^{2012113323000} is an apocalyptic number.

2012113323000 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 2012113323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723758438400).

2012113323000 is an abundant number, since it is smaller than the sum of its proper divisors (5435403553800).

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

2012113323000 is a wasteful number, since it uses less digits than its factorization.

2012113323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77580 (or 77563 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2012113323000 its reverse (3233112102), we get a palindrome (2015346435102).

The spelling of 2012113323000 in words is "two trillion, twelve billion, one hundred thirteen million, three hundred twenty-three thousand".