3122811740160 has 2016 divisors, whose sum is σ = 13786931471040. Its totient is φ = 674211299328.

The previous prime is 3122811740119. The next prime is 3122811740161. The reversal of 3122811740160 is 610471182213.

3122811740160 is a `hidden beast` number, since 312 + 281 + 1 + 7 + 4 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×3122811740160² (a number of 26 digits) contains 22 as substring.

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 (3122811740161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9266503512 + ... + 9266503848.

It is an arithmetic number, because the mean of its divisors is an integer number (6838755690).

Almost surely, 2^{3122811740160} is an apocalyptic number.

3122811740160 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 3122811740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6893465735520).

3122811740160 is an abundant number, since it is smaller than the sum of its proper divisors (10664119730880).

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

3122811740160 is an equidigital number, since it uses as much as digits as its factorization.

3122811740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 3122811740160 in words is "three trillion, one hundred twenty-two billion, eight hundred eleven million, seven hundred forty thousand, one hundred sixty".