3121123013320 has 192 divisors, whose sum is σ = 8052397783920. Its totient is φ = 1082092290048.

The previous prime is 3121123013299. The next prime is 3121123013347. The reversal of 3121123013320 is 233103211213.

It can be written as a sum of positive squares in 8 ways, for example, as 213763823716 + 2907359189604 = 462346^2 + 1705098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3121123013291 and 3121123013300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21138792 + ... + 21285928.

Almost surely, 2^{3121123013320} 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 3121123013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026198891960).

3121123013320 is an abundant number, since it is smaller than the sum of its proper divisors (4931274770600).

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

3121123013320 is a wasteful number, since it uses less digits than its factorization.

3121123013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147312 (or 147289 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 3121123013320 its reverse (233103211213), we get a palindrome (3354226224533).

The spelling of 3121123013320 in words is "three trillion, one hundred twenty-one billion, one hundred twenty-three million, thirteen thousand, three hundred twenty".