12119719385088 has 1056 divisors, whose sum is σ = 42248045548800. Its totient is φ = 3404487573504.

The previous prime is 12119719385083. The next prime is 12119719385099. The reversal of 12119719385088 is 88058391791121.

12119719385088 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 97 + 1 + 9 + 38 + 508 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12119719385083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 87192225723 + ... + 87192225861.

Almost surely, 2^{12119719385088} is an apocalyptic number.

12119719385088 is a gapful number since it is divisible by the number (18) 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 12119719385088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21124022774400).

12119719385088 is an abundant number, since it is smaller than the sum of its proper divisors (30128326163712).

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

12119719385088 is an frugal number, since it uses more digits than its factorization.

12119719385088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 63.

The spelling of 12119719385088 in words is "twelve trillion, one hundred nineteen billion, seven hundred nineteen million, three hundred eighty-five thousand, eighty-eight".