12003608098944 has 576 divisors, whose sum is σ = 45018695030400. Its totient is φ = 3033549066240.

The previous prime is 12003608098919. The next prime is 12003608099009. The reversal of 12003608098944 is 44989080630021.

12003608098944 is a `hidden beast` number, since 1 + 20 + 0 + 3 + 608 + 0 + 9 + 8 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22713097 + ... + 23235575.

It is an arithmetic number, because the mean of its divisors is an integer number (78157456650).

Almost surely, 2^{12003608098944} is an apocalyptic number.

12003608098944 is a gapful number since it is divisible by the number (14) 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 12003608098944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22509347515200).

12003608098944 is an abundant number, since it is smaller than the sum of its proper divisors (33015086931456).

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

12003608098944 is a wasteful number, since it uses less digits than its factorization.

12003608098944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522561 (or 522539 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 12003608098944 in words is "twelve trillion, three billion, six hundred eight million, ninety-eight thousand, nine hundred forty-four".