2120010012 has 72 divisors (see below), whose sum is σ = 5486697216. Its totient is φ = 689896224.

The previous prime is 2120009971. The next prime is 2120010023. The reversal of 2120010012 is 2100100212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2120009976 and 2120010003.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 788823 + ... + 791505.

It is an arithmetic number, because the mean of its divisors is an integer number (76204128).

Almost surely, 2^2120010012 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 2120010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743348608).

2120010012 is an abundant number, since it is smaller than the sum of its proper divisors (3366687204).

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

2120010012 is a wasteful number, since it uses less digits than its factorization.

2120010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2120010012 is about 46043.5664561294. The cubic root of 2120010012 is about 1284.6336799942.

Adding to 2120010012 its reverse (2100100212), we get a palindrome (4220110224).

The spelling of 2120010012 in words is "two billion, one hundred twenty million, ten thousand, twelve".