12003178117392 has 480 divisors, whose sum is σ = 43802076487680. Its totient is φ = 3080138054400.

The previous prime is 12003178117313. The next prime is 12003178117457. The reversal of 12003178117392 is 29371187130021.

12003178117392 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 317 + 81 + 173 + 92 = 666.

12003178117392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30172417 + ... + 30567647.

It is an arithmetic number, because the mean of its divisors is an integer number (91254326016).

Almost surely, 2^{12003178117392} is an apocalyptic number.

12003178117392 is a gapful number since it is divisible by the number (12) 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 12003178117392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21901038243840).

12003178117392 is an abundant number, since it is smaller than the sum of its proper divisors (31798898370288).

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

12003178117392 is a wasteful number, since it uses less digits than its factorization.

12003178117392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395360 (or 395337 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 12003178117392 in words is "twelve trillion, three billion, one hundred seventy-eight million, one hundred seventeen thousand, three hundred ninety-two".