3312123133120 has 224 divisors, whose sum is σ = 8177457254400. Its totient is φ = 1277000085504.

The previous prime is 3312123133079. The next prime is 3312123133141. The reversal of 3312123133120 is 213313212133.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497835714 + ... + 497842366.

It is an arithmetic number, because the mean of its divisors is an integer number (36506505600).

Almost surely, 2^{3312123133120} 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 3312123133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088728627200).

3312123133120 is an abundant number, since it is smaller than the sum of its proper divisors (4865334121280).

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

3312123133120 is a wasteful number, since it uses less digits than its factorization.

3312123133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7215 (or 7205 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 3312123133120 its reverse (213313212133), we get a palindrome (3525436345253).

The spelling of 3312123133120 in words is "three trillion, three hundred twelve billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred twenty".