1312120032 has 48 divisors (see below), whose sum is σ = 3461673600. Its totient is φ = 435169152.

The previous prime is 1312120021. The next prime is 1312120037. The reversal of 1312120032 is 2300212131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1312119993 and 1312120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312120037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15238 + ... + 53445.

It is an arithmetic number, because the mean of its divisors is an integer number (72118200).

Almost surely, 2^1312120032 is an apocalyptic number.

1312120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312120032 is an abundant number, since it is smaller than the sum of its proper divisors (2149553568).

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

1312120032 is a wasteful number, since it uses less digits than its factorization.

1312120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68895 (or 68887 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1312120032 is about 36223.1974292718. The cubic root of 1312120032 is about 1094.7741190839.

Adding to 1312120032 its reverse (2300212131), we get a palindrome (3612332163).

It can be divided in two parts, 13121 and 20032, that added together give a triangular number (33153 = T₂₅₇).

The spelling of 1312120032 in words is "one billion, three hundred twelve million, one hundred twenty thousand, thirty-two".