12124561552600 has 96 divisors (see below), whose sum is σ = 33327612655200. Its totient is φ = 4013647948800.

The previous prime is 12124561552577. The next prime is 12124561552603. The reversal of 12124561552600 is 625516542121.

12124561552600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12124561552600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12124561552603) 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, 149276661 + ... + 149357860.

It is an arithmetic number, because the mean of its divisors is an integer number (347162631825).

Almost surely, 2^{12124561552600} is an apocalyptic number.

12124561552600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12124561552600 is an abundant number, since it is smaller than the sum of its proper divisors (21203051102600).

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

12124561552600 is a wasteful number, since it uses less digits than its factorization.

12124561552600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298634573 (or 298634564 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 12124561552600 in words is "twelve trillion, one hundred twenty-four billion, five hundred sixty-one million, five hundred fifty-two thousand, six hundred".