12069008138880 has 2048 divisors, whose sum is σ = 54481998643200. Its totient is φ = 2483144294400.

The previous prime is 12069008138861. The next prime is 12069008138881. The reversal of 12069008138880 is 8883180096021.

12069008138880 is a `hidden beast` number, since 1 + 20 + 6 + 90 + 0 + 81 + 388 + 80 = 666.

It is a super-3 number, since 3×12069008138880³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12069008138881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12178615185 + ... + 12178616175.

It is an arithmetic number, because the mean of its divisors is an integer number (26602538400).

Almost surely, 2^{12069008138880} is an apocalyptic number.

12069008138880 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 12069008138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27240999321600).

12069008138880 is an abundant number, since it is smaller than the sum of its proper divisors (42412990504320).

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

12069008138880 is an equidigital number, since it uses as much as digits as its factorization.

12069008138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 12069008138880 in words is "twelve trillion, sixty-nine billion, eight million, one hundred thirty-eight thousand, eight hundred eighty".