3144131120 has 80 divisors (see below), whose sum is σ = 7884620352. Its totient is φ = 1159111680.

The previous prime is 3144131117. The next prime is 3144131149. The reversal of 3144131120 is 211314413.

3144131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×3144131120³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3144131092 and 3144131101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801965 + ... + 805875.

Almost surely, 2^3144131120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942310176).

3144131120 is an abundant number, since it is smaller than the sum of its proper divisors (4740489232).

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

3144131120 is a wasteful number, since it uses less digits than its factorization.

3144131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4710 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3144131120 is about 56072.5522871931. The cubic root of 3144131120 is about 1464.9862540305.

Adding to 3144131120 its reverse (211314413), we get a palindrome (3355445533).

The spelling of 3144131120 in words is "three billion, one hundred forty-four million, one hundred thirty-one thousand, one hundred twenty".