2012093244000 has 768 divisors, whose sum is σ = 8431839037440. Its totient is φ = 456526540800.

The previous prime is 2012093243981. The next prime is 2012093244059. The reversal of 2012093244000 is 4423902102.

2012093244000 is a `hidden beast` number, since 20 + 1 + 209 + 32 + 4 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103562287 + ... + 103581713.

It is an arithmetic number, because the mean of its divisors is an integer number (10978957080).

Almost surely, 2^{2012093244000} is an apocalyptic number.

2012093244000 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 2012093244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215919518720).

2012093244000 is an abundant number, since it is smaller than the sum of its proper divisors (6419745793440).

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

2012093244000 is a wasteful number, since it uses less digits than its factorization.

2012093244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19605 (or 19581 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 2012093244000 in words is "two trillion, twelve billion, ninety-three million, two hundred forty-four thousand".