1312134120 has 512 divisors, whose sum is σ = 5178816000. Its totient is φ = 291962880.

The previous prime is 1312134119. The next prime is 1312134133. The reversal of 1312134120 is 214312131.

1312134120 is digitally balanced in base 4, because in such base 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 = 1312134093 and 1312134102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14743036 + ... + 14743124.

It is an arithmetic number, because the mean of its divisors is an integer number (10114875).

Almost surely, 2^1312134120 is an apocalyptic number.

1312134120 is a gapful number since it is divisible by the number (10) 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 1312134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589408000).

1312134120 is an abundant number, since it is smaller than the sum of its proper divisors (3866681880).

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

1312134120 is a wasteful number, since it uses less digits than its factorization.

1312134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

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

The square root of 1312134120 is about 36223.3918897720. The cubic root of 1312134120 is about 1094.7780372017.

Adding to 1312134120 its reverse (214312131), we get a palindrome (1526446251).

The spelling of 1312134120 in words is "one billion, three hundred twelve million, one hundred thirty-four thousand, one hundred twenty".