12124107600 has 480 divisors, whose sum is σ = 45404343936. Its totient is φ = 2732851200.

The previous prime is 12124107577. The next prime is 12124107637. The reversal of 12124107600 is 670142121.

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 95 ways as a sum of consecutive naturals, for example, 21766522 + ... + 21767078.

Almost surely, 2^12124107600 is an apocalyptic number.

12124107600 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 12124107600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22702171968).

12124107600 is an abundant number, since it is smaller than the sum of its proper divisors (33280236336).

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

12124107600 is a wasteful number, since it uses less digits than its factorization.

12124107600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 12124107600 its reverse (670142121), we get a palindrome (12794249721).

The spelling of 12124107600 in words is "twelve billion, one hundred twenty-four million, one hundred seven thousand, six hundred".