3120645120 has 528 divisors, whose sum is σ = 11462544960. Its totient is φ = 721944576.

The previous prime is 3120645113. The next prime is 3120645127. The reversal of 3120645120 is 215460213.

It is an interprime number because it is at equal distance from previous prime (3120645113) and next prime (3120645127).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120645127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84341742 + ... + 84341778.

Almost surely, 2^3120645120 is an apocalyptic number.

3120645120 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 3120645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731272480).

3120645120 is an abundant number, since it is smaller than the sum of its proper divisors (8341899840).

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

3120645120 is a wasteful number, since it uses less digits than its factorization.

3120645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3120645120 is about 55862.7346269407. The cubic root of 3120645120 is about 1461.3294202511.

The spelling of 3120645120 in words is "three billion, one hundred twenty million, six hundred forty-five thousand, one hundred twenty".