12128112600 has 96 divisors (see below), whose sum is σ = 37733395920. Its totient is φ = 3222443520.

The previous prime is 12128112569. The next prime is 12128112631. The reversal of 12128112600 is 621182121.

It is an interprime number because it is at equal distance from previous prime (12128112569) and next prime (12128112631).

It is a super-2 number, since 2×12128112600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129714 + ... + 202686.

Almost surely, 2^12128112600 is an apocalyptic number.

12128112600 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 12128112600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18866697960).

12128112600 is an abundant number, since it is smaller than the sum of its proper divisors (25605283320).

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

12128112600 is a wasteful number, since it uses less digits than its factorization.

12128112600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73269 (or 73260 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 12128112600 its reverse (621182121), we get a palindrome (12749294721).

The spelling of 12128112600 in words is "twelve billion, one hundred twenty-eight million, one hundred twelve thousand, six hundred".