2012121112120 has 32 divisors (see below), whose sum is σ = 5174025717600. Its totient is φ = 689870095488.

The previous prime is 2012121112039. The next prime is 2012121112121. The reversal of 2012121112120 is 212111212102.

It is a super-3 number, since 3×2012121112120³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2012121112094 and 2012121112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012121112121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3593073135 + ... + 3593073694.

It is an arithmetic number, because the mean of its divisors is an integer number (161688303675).

Almost surely, 2^{2012121112120} is an apocalyptic number.

2012121112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012121112120 is an abundant number, since it is smaller than the sum of its proper divisors (3161904605480).

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

2012121112120 is a wasteful number, since it uses less digits than its factorization.

2012121112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186146847 (or 7186146843 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2012121112120 its reverse (212111212102), we get a palindrome (2224232324222).

The spelling of 2012121112120 in words is "two trillion, twelve billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".