12123432301344 has 96 divisors (see below), whose sum is σ = 39168012078720. Its totient is φ = 3197388736512.

The previous prime is 12123432301307. The next prime is 12123432301361. The reversal of 12123432301344 is 44310323432121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12123432301344² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693869029 + ... + 693886500.

It is an arithmetic number, because the mean of its divisors is an integer number (408000125820).

Almost surely, 2^{12123432301344} is an apocalyptic number.

12123432301344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12123432301344 is an abundant number, since it is smaller than the sum of its proper divisors (27044579777376).

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

12123432301344 is a wasteful number, since it uses less digits than its factorization.

12123432301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387755562 (or 1387755554 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 12123432301344 its reverse (44310323432121), we get a palindrome (56433755733465).

The spelling of 12123432301344 in words is "twelve trillion, one hundred twenty-three billion, four hundred thirty-two million, three hundred one thousand, three hundred forty-four".