12312112032 has 144 divisors (see below), whose sum is σ = 38512393920. Its totient is φ = 3730826880.

The previous prime is 12312112031. The next prime is 12312112049. The reversal of 12312112032 is 23021121321.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 12312111996 and 12312112014.

It is not an unprimeable number, because it can be changed into a prime (12312112031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367269 + ... + 399387.

It is an arithmetic number, because the mean of its divisors is an integer number (267447180).

Almost surely, 2^12312112032 is an apocalyptic number.

12312112032 is a gapful number since it is divisible by the number (12) 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 12312112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19256196960).

12312112032 is an abundant number, since it is smaller than the sum of its proper divisors (26200281888).

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

12312112032 is a wasteful number, since it uses less digits than its factorization.

12312112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32168 (or 32135 counting only the distinct ones).

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

Adding to 12312112032 its reverse (23021121321), we get a palindrome (35333233353).

The spelling of 12312112032 in words is "twelve billion, three hundred twelve million, one hundred twelve thousand, thirty-two".