3121413120 has 264 divisors, whose sum is σ = 12361980384. Its totient is φ = 713392128.

The previous prime is 3121413103. The next prime is 3121413131. The reversal of 3121413120 is 213141213.

3121413120 is a `hidden beast` number, since 312 + 1 + 41 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3121413093 and 3121413102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317722 + ... + 327398.

Almost surely, 2^3121413120 is an apocalyptic number.

3121413120 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 3121413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180990192).

3121413120 is an abundant number, since it is smaller than the sum of its proper divisors (9240567264).

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

3121413120 is a wasteful number, since it uses less digits than its factorization.

3121413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9715 (or 9694 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3121413120 is about 55869.6081962278. The cubic root of 3121413120 is about 1461.4492895833.

Adding to 3121413120 its reverse (213141213), we get a palindrome (3334554333).

The spelling of 3121413120 in words is "three billion, one hundred twenty-one million, four hundred thirteen thousand, one hundred twenty".