12101123003232 has 96 divisors (see below), whose sum is σ = 33646127874912. Its totient is φ = 3795062226944.

The previous prime is 12101123003201. The next prime is 12101123003239. The reversal of 12101123003232 is 23230032110121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12101123003199 and 12101123003208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101123003239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3197008 + ... + 5867120.

It is an arithmetic number, because the mean of its divisors is an integer number (350480498697).

Almost surely, 2^{12101123003232} is an apocalyptic number.

12101123003232 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 12101123003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823063937456).

12101123003232 is an abundant number, since it is smaller than the sum of its proper divisors (21545004871680).

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

12101123003232 is a wasteful number, since it uses less digits than its factorization.

12101123003232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672920 (or 2672912 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12101123003232 its reverse (23230032110121), we get a palindrome (35331155113353).

The spelling of 12101123003232 in words is "twelve trillion, one hundred one billion, one hundred twenty-three million, three thousand, two hundred thirty-two".