12355122528 has 144 divisors (see below), whose sum is σ = 40265971200. Its totient is φ = 3520205568.

The previous prime is 12355122523. The next prime is 12355122529. The reversal of 12355122528 is 82522155321.

12355122528 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 5 + 122 + 528 = 666.

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

It is a super-2 number, since 2×12355122528² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12355122492 and 12355122501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12355122523) 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, 731523 + ... + 748221.

It is an arithmetic number, because the mean of its divisors is an integer number (279624800).

Almost surely, 2^12355122528 is an apocalyptic number.

12355122528 is a gapful number since it is divisible by the number (18) 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 12355122528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132985600).

12355122528 is an abundant number, since it is smaller than the sum of its proper divisors (27910848672).

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

12355122528 is a wasteful number, since it uses less digits than its factorization.

12355122528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17089 (or 17078 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

Adding to 12355122528 its reverse (82522155321), we get a palindrome (94877277849).

The spelling of 12355122528 in words is "twelve billion, three hundred fifty-five million, one hundred twenty-two thousand, five hundred twenty-eight".