3157120124160 has 288 divisors, whose sum is σ = 10679248863360. Its totient is φ = 792147001344.

The previous prime is 3157120124113. The next prime is 3157120124183. The reversal of 3157120124160 is 614210217513.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428428956 + ... + 428436324.

It is an arithmetic number, because the mean of its divisors is an integer number (37080725220).

Almost surely, 2^{3157120124160} is an apocalyptic number.

3157120124160 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 3157120124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339624431680).

3157120124160 is an abundant number, since it is smaller than the sum of its proper divisors (7522128739200).

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

3157120124160 is a wasteful number, since it uses less digits than its factorization.

3157120124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13973 (or 13959 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 3157120124160 in words is "three trillion, one hundred fifty-seven billion, one hundred twenty million, one hundred twenty-four thousand, one hundred sixty".