12073207358880 has 288 divisors, whose sum is σ = 42220373779584. Its totient is φ = 3139993479168.

The previous prime is 12073207358843. The next prime is 12073207358897. The reversal of 12073207358880 is 8885370237021.

12073207358880 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 3 + 207 + 358 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12073207358880² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41775837 + ... + 42063843.

It is an arithmetic number, because the mean of its divisors is an integer number (146598520068).

Almost surely, 2^{12073207358880} is an apocalyptic number.

12073207358880 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 12073207358880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21110186889792).

12073207358880 is an abundant number, since it is smaller than the sum of its proper divisors (30147166420704).

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

12073207358880 is a wasteful number, since it uses less digits than its factorization.

12073207358880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288748 (or 288737 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 12073207358880 in words is "twelve trillion, seventy-three billion, two hundred seven million, three hundred fifty-eight thousand, eight hundred eighty".