12334432103100 has 216 divisors, whose sum is σ = 39299815900800. Its totient is φ = 3235233536640.

The previous prime is 12334432103099. The next prime is 12334432103107. The reversal of 12334432103100 is 130123443321.

It is a happy number.

12334432103100 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 443 + 210 + 3 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×12334432103100² (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 (12334432103107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16593201 + ... + 17320599.

Almost surely, 2^{12334432103100} is an apocalyptic number.

12334432103100 is a gapful number since it is divisible by the number (10) 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 12334432103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19649907950400).

12334432103100 is an abundant number, since it is smaller than the sum of its proper divisors (26965383797700).

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

12334432103100 is a wasteful number, since it uses less digits than its factorization.

12334432103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727729 (or 727719 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12334432103100 its reverse (130123443321), we get a palindrome (12464555546421).

The spelling of 12334432103100 in words is "twelve trillion, three hundred thirty-four billion, four hundred thirty-two million, one hundred three thousand, one hundred".