3121040160 has 240 divisors, whose sum is σ = 12588561216. Its totient is φ = 713359872.

The previous prime is 3121040033. The next prime is 3121040179. The reversal of 3121040160 is 610401213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 39 ways as a sum of consecutive naturals, for example, 73519 + ... + 107921.

Almost surely, 2^3121040160 is an apocalyptic number.

3121040160 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 3121040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294280608).

3121040160 is an abundant number, since it is smaller than the sum of its proper divisors (9467521056).

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

3121040160 is a wasteful number, since it uses less digits than its factorization.

3121040160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34437 (or 34420 counting only the distinct ones).

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

The square root of 3121040160 is about 55866.2703247675. The cubic root of 3121040160 is about 1461.3910804948.

Adding to 3121040160 its reverse (610401213), we get a palindrome (3731441373).

The spelling of 3121040160 in words is "three billion, one hundred twenty-one million, forty thousand, one hundred sixty".