12138466560 has 576 divisors, whose sum is σ = 44602500096. Its totient is φ = 2786918400.

The previous prime is 12138466511. The next prime is 12138466573. The reversal of 12138466560 is 6566483121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74469039 + ... + 74469201.

It is an arithmetic number, because the mean of its divisors is an integer number (77434896).

Almost surely, 2^12138466560 is an apocalyptic number.

12138466560 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 12138466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22301250048).

12138466560 is an abundant number, since it is smaller than the sum of its proper divisors (32464033536).

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

12138466560 is a wasteful number, since it uses less digits than its factorization.

12138466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 12138466560 in words is "twelve billion, one hundred thirty-eight million, four hundred sixty-six thousand, five hundred sixty".