3012132122320 has 160 divisors (see below), whose sum is σ = 7355715168384. Its totient is φ = 1146071808000.

The previous prime is 3012132122297. The next prime is 3012132122333. The reversal of 3012132122320 is 232212312103.

It is a junction number, because it is equal to n+sod(n) for n = 3012132122291 and 3012132122300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21122779 + ... + 21264901.

Almost surely, 2^{3012132122320} 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 3012132122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677857584192).

3012132122320 is an abundant number, since it is smaller than the sum of its proper divisors (4343583046064).

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

3012132122320 is a wasteful number, since it uses less digits than its factorization.

3012132122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142341 (or 142335 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3012132122320 its reverse (232212312103), we get a palindrome (3244344434423).

The spelling of 3012132122320 in words is "three trillion, twelve billion, one hundred thirty-two million, one hundred twenty-two thousand, three hundred twenty".