2005120922112 has 640 divisors, whose sum is σ = 7835207086080. Its totient is φ = 490170286080.

The previous prime is 2005120922089. The next prime is 2005120922131. The reversal of 2005120922112 is 2112290215002.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18040213 + ... + 18151019.

It is an arithmetic number, because the mean of its divisors is an integer number (12242511072).

Almost surely, 2^{2005120922112} is an apocalyptic number.

2005120922112 is a gapful number since it is divisible by the number (22) 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 2005120922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917603543040).

2005120922112 is an abundant number, since it is smaller than the sum of its proper divisors (5830086163968).

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

2005120922112 is a wasteful number, since it uses less digits than its factorization.

2005120922112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110869 (or 110847 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 2005120922112 in words is "two trillion, five billion, one hundred twenty million, nine hundred twenty-two thousand, one hundred twelve".