2120112002112 has 112 divisors (see below), whose sum is σ = 6188300950272. Its totient is φ = 636431339520.

The previous prime is 2120112002089. The next prime is 2120112002119. The reversal of 2120112002112 is 2112002110212.

It is a junction number, because it is equal to n+sod(n) for n = 2120112002091 and 2120112002100.

It is not an unprimeable number, because it can be changed into a prime (2120112002119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10256248 + ... + 10460919.

It is an arithmetic number, because the mean of its divisors is an integer number (55252687056).

Almost surely, 2^{2120112002112} is an apocalyptic number.

It is an amenable number.

2120112002112 is an abundant number, since it is smaller than the sum of its proper divisors (4068188948160).

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

2120112002112 is a wasteful number, since it uses less digits than its factorization.

2120112002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20717236 (or 20717226 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2120112002112 its reverse (2112002110212), we get a palindrome (4232114112324).

The spelling of 2120112002112 in words is "two trillion, one hundred twenty billion, one hundred twelve million, two thousand, one hundred twelve".