2120002010112 has 176 divisors, whose sum is σ = 6521749074432. Its totient is φ = 599717068800.

The previous prime is 2120002010041. The next prime is 2120002010117. The reversal of 2120002010112 is 2110102000212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120002010117) 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 15 ways as a sum of consecutive naturals, for example, 1683853 + ... + 2659955.

Almost surely, 2^{2120002010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120002010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260874537216).

2120002010112 is an abundant number, since it is smaller than the sum of its proper divisors (4401747064320).

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

2120002010112 is a wasteful number, since it uses less digits than its factorization.

2120002010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976234 (or 976216 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2120002010112 its reverse (2110102000212), we get a palindrome (4230104010324).

The spelling of 2120002010112 in words is "two trillion, one hundred twenty billion, two million, ten thousand, one hundred twelve".