12123314440032 has 48 divisors (see below), whose sum is σ = 31825076375232. Its totient is φ = 4040930087040.

The previous prime is 12123314440009. The next prime is 12123314440033. The reversal of 12123314440032 is 23004441332121.

12123314440032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×12123314440032² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123314440033) 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, 488694 + ... + 4948277.

It is an arithmetic number, because the mean of its divisors is an integer number (663022424484).

Almost surely, 2^{12123314440032} is an apocalyptic number.

12123314440032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12123314440032 is an abundant number, since it is smaller than the sum of its proper divisors (19701761935200).

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

12123314440032 is a wasteful number, since it uses less digits than its factorization.

12123314440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460211 (or 5460203 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12123314440032 its reverse (23004441332121), we get a palindrome (35127755772153).

The spelling of 12123314440032 in words is "twelve trillion, one hundred twenty-three billion, three hundred fourteen million, four hundred forty thousand, thirty-two".