2001111112120 has 256 divisors, whose sum is σ = 5056480857600. Its totient is φ = 708295311360.

The previous prime is 2001111112109. The next prime is 2001111112123. The reversal of 2001111112120 is 212111111002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2001111112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001111112123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1207670332 + ... + 1207671988.

It is an arithmetic number, because the mean of its divisors is an integer number (19751878350).

Almost surely, 2^{2001111112120} is an apocalyptic number.

2001111112120 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 2001111112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528240428800).

2001111112120 is an abundant number, since it is smaller than the sum of its proper divisors (3055369745480).

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

2001111112120 is a wasteful number, since it uses less digits than its factorization.

2001111112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2001111112120 its reverse (212111111002), we get a palindrome (2213222223122).

The spelling of 2001111112120 in words is "two trillion, one billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty".