3183125109120 has 1024 divisors, whose sum is σ = 12976848000000. Its totient is φ = 729296732160.

The previous prime is 3183125109067. The next prime is 3183125109121. The reversal of 3183125109120 is 219015213813.

3183125109120 is a `hidden beast` number, since 3 + 1 + 8 + 3 + 12 + 510 + 9 + 120 = 666.

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 (3183125109121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2054954106 + ... + 2054955654.

It is an arithmetic number, because the mean of its divisors is an integer number (12672703125).

Almost surely, 2^{3183125109120} is an apocalyptic number.

3183125109120 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 3183125109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488424000000).

3183125109120 is an abundant number, since it is smaller than the sum of its proper divisors (9793722890880).

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

3183125109120 is a wasteful number, since it uses less digits than its factorization.

3183125109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 3183125109120 in words is "three trillion, one hundred eighty-three billion, one hundred twenty-five million, one hundred nine thousand, one hundred twenty".