12103756560 has 960 divisors, whose sum is σ = 53193024000. Its totient is φ = 2519838720.

The previous prime is 12103756559. The next prime is 12103756597. The reversal of 12103756560 is 6565730121.

12103756560 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 37 + 565 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 390443745 + ... + 390443775.

It is an arithmetic number, because the mean of its divisors is an integer number (55409400).

Almost surely, 2^12103756560 is an apocalyptic number.

12103756560 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 12103756560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26596512000).

12103756560 is an abundant number, since it is smaller than the sum of its proper divisors (41089267440).

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

12103756560 is a wasteful number, since it uses less digits than its factorization.

12103756560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 12103756560 in words is "twelve billion, one hundred three million, seven hundred fifty-six thousand, five hundred sixty".