1312332120 has 288 divisors, whose sum is σ = 4795277760. Its totient is φ = 310886400.

The previous prime is 1312332089. The next prime is 1312332143. The reversal of 1312332120 is 212332131.

1312332120 is a `hidden beast` number, since 1 + 312 + 332 + 1 + 20 = 666.

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 = 1312332093 and 1312332102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2047000 + ... + 2047640.

It is an arithmetic number, because the mean of its divisors is an integer number (16650270).

Almost surely, 2^1312332120 is an apocalyptic number.

1312332120 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 1312332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397638880).

1312332120 is an abundant number, since it is smaller than the sum of its proper divisors (3482945640).

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

1312332120 is a wasteful number, since it uses less digits than its factorization.

1312332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1312332120 is about 36226.1248272569. The cubic root of 1312332120 is about 1094.8331014784.

Adding to 1312332120 its reverse (212332131), we get a palindrome (1524664251).

The spelling of 1312332120 in words is "one billion, three hundred twelve million, three hundred thirty-two thousand, one hundred twenty".