12073068087136 has 192 divisors, whose sum is σ = 28600185729024. Its totient is φ = 4909072896000.

The previous prime is 12073068087011. The next prime is 12073068087137. The reversal of 12073068087136 is 63178086037021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12073068087137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67679661 + ... + 67857811.

It is an arithmetic number, because the mean of its divisors is an integer number (148959300672).

Almost surely, 2^{12073068087136} is an apocalyptic number.

12073068087136 is a gapful number since it is divisible by the number (16) 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 12073068087136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14300092864512).

12073068087136 is an abundant number, since it is smaller than the sum of its proper divisors (16527117641888).

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

12073068087136 is a wasteful number, since it uses less digits than its factorization.

12073068087136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178413 (or 178405 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 12073068087136 in words is "twelve trillion, seventy-three billion, sixty-eight million, eighty-seven thousand, one hundred thirty-six".