3121113415680 has 1080 divisors, whose sum is σ = 12050239094712. Its totient is φ = 746405756928.

The previous prime is 3121113415657. The next prime is 3121113415687. The reversal of 3121113415680 is 865143111213.

3121113415680 is a `hidden beast` number, since 3 + 121 + 113 + 415 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 225997553664 + 2895115862016 = 475392^2 + 1701504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121113415687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4610211502 + ... + 4610212178.

Almost surely, 2^{3121113415680} is an apocalyptic number.

3121113415680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121113415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6025119547356).

3121113415680 is an abundant number, since it is smaller than the sum of its proper divisors (8929125679032).

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

3121113415680 is a wasteful number, since it uses less digits than its factorization.

3121113415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 3121113415680 its reverse (865143111213), we get a palindrome (3986256526893).

The spelling of 3121113415680 in words is "three trillion, one hundred twenty-one billion, one hundred thirteen million, four hundred fifteen thousand, six hundred eighty".