2012101112120 has 128 divisors (see below), whose sum is σ = 5129366860800. Its totient is φ = 703967808000.

The previous prime is 2012101112111. The next prime is 2012101112183. The reversal of 2012101112120 is 212111012102.

It is a junction number, because it is equal to n+sod(n) for n = 2012101112095 and 2012101112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395570 + ... + 2044670.

It is an arithmetic number, because the mean of its divisors is an integer number (40073178600).

Almost surely, 2^{2012101112120} is an apocalyptic number.

2012101112120 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 2012101112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564683430400).

2012101112120 is an abundant number, since it is smaller than the sum of its proper divisors (3117265748680).

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

2012101112120 is a wasteful number, since it uses less digits than its factorization.

2012101112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649229 (or 1649225 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2012101112120 its reverse (212111012102), we get a palindrome (2224212124222).

The spelling of 2012101112120 in words is "two trillion, twelve billion, one hundred one million, one hundred twelve thousand, one hundred twenty".