12115896048288 has 144 divisors (see below), whose sum is σ = 36717554555136. Its totient is φ = 3780846896640.

The previous prime is 12115896048281. The next prime is 12115896048301. The reversal of 12115896048288 is 88284069851121.

12115896048288 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 589 + 6 + 0 + 48 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (12115896048281) 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, 19147083 + ... + 19769738.

It is an arithmetic number, because the mean of its divisors is an integer number (254983017744).

Almost surely, 2^{12115896048288} is an apocalyptic number.

12115896048288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12115896048288 is an abundant number, since it is smaller than the sum of its proper divisors (24601658506848).

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

12115896048288 is a wasteful number, since it uses less digits than its factorization.

12115896048288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38916907 (or 38916896 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 63.

The spelling of 12115896048288 in words is "twelve trillion, one hundred fifteen billion, eight hundred ninety-six million, forty-eight thousand, two hundred eighty-eight".