12124420560 has 240 divisors, whose sum is σ = 48558392064. Its totient is φ = 2650779648.

The previous prime is 12124420531. The next prime is 12124420579. The reversal of 12124420560 is 6502442121.

12124420560 is a `hidden beast` number, since 1 + 212 + 442 + 0 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63624 + ... + 168216.

Almost surely, 2^12124420560 is an apocalyptic number.

12124420560 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 12124420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24279196032).

12124420560 is an abundant number, since it is smaller than the sum of its proper divisors (36433971504).

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

12124420560 is a wasteful number, since it uses less digits than its factorization.

12124420560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104642 (or 104633 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12124420560 its reverse (6502442121), we get a palindrome (18626862681).

The spelling of 12124420560 in words is "twelve billion, one hundred twenty-four million, four hundred twenty thousand, five hundred sixty".