3132123111320 has 256 divisors, whose sum is σ = 8618468947200. Its totient is φ = 999987609600.

The previous prime is 3132123111287. The next prime is 3132123111323. The reversal of 3132123111320 is 231113212313.

3132123111320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3132123111320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132123111323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323261036 + ... + 323270724.

It is an arithmetic number, because the mean of its divisors is an integer number (33665894325).

Almost surely, 2^{3132123111320} 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 3132123111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309234473600).

3132123111320 is an abundant number, since it is smaller than the sum of its proper divisors (5486345835880).

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

3132123111320 is a wasteful number, since it uses less digits than its factorization.

3132123111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438 (or 10434 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 3132123111320 its reverse (231113212313), we get a palindrome (3363236323633).

The spelling of 3132123111320 in words is "three trillion, one hundred thirty-two billion, one hundred twenty-three million, one hundred eleven thousand, three hundred twenty".