12115445760 has 1152 divisors, whose sum is σ = 52434345600. Its totient is φ = 2548039680.

The previous prime is 12115445737. The next prime is 12115445819. The reversal of 12115445760 is 6754451121.

12115445760 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 544 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 327444462 + ... + 327444498.

It is an arithmetic number, because the mean of its divisors is an integer number (45515925).

Almost surely, 2^12115445760 is an apocalyptic number.

12115445760 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 12115445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26217172800).

12115445760 is an abundant number, since it is smaller than the sum of its proper divisors (40318899840).

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

12115445760 is a wasteful number, since it uses less digits than its factorization.

12115445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 12115445760 its reverse (6754451121), we get a palindrome (18869896881).

The spelling of 12115445760 in words is "twelve billion, one hundred fifteen million, four hundred forty-five thousand, seven hundred sixty".