12169325743008 has 288 divisors, whose sum is σ = 37802381617728. Its totient is φ = 3416936140800.

The previous prime is 12169325742989. The next prime is 12169325743013. The reversal of 12169325743008 is 80034752396121.

It is a super-2 number, since 2×12169325743008² (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, 335993316 + ... + 336029532.

It is an arithmetic number, because the mean of its divisors is an integer number (131258269506).

It is a 1-persistent number, because it is pandigital, but 2⋅12169325743008 = 24338651486016 is not.

Almost surely, 2^{12169325743008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12169325743008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18901190808864).

12169325743008 is an abundant number, since it is smaller than the sum of its proper divisors (25633055874720).

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

12169325743008 is a wasteful number, since it uses less digits than its factorization.

12169325743008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37476 (or 37461 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 12169325743008 in words is "twelve trillion, one hundred sixty-nine billion, three hundred twenty-five million, seven hundred forty-three thousand, eight".