3124131120 has 400 divisors, whose sum is σ = 12137035680. Its totient is φ = 738201600.

The previous prime is 3124131103. The next prime is 3124131139. The reversal of 3124131120 is 211314213.

3124131120 is a `hidden beast` number, since 312 + 41 + 311 + 2 + 0 = 666.

3124131120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3124131093 and 3124131102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2921946 + ... + 2923014.

Almost surely, 2^3124131120 is an apocalyptic number.

3124131120 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 3124131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068517840).

3124131120 is an abundant number, since it is smaller than the sum of its proper divisors (9012904560).

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

3124131120 is a wasteful number, since it uses less digits than its factorization.

3124131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1131 counting only the distinct ones).

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

The square root of 3124131120 is about 55893.9273982425. The cubic root of 3124131120 is about 1461.8733567846.

Adding to 3124131120 its reverse (211314213), we get a palindrome (3335445333).

The spelling of 3124131120 in words is "three billion, one hundred twenty-four million, one hundred thirty-one thousand, one hundred twenty".