12042108859968 has 336 divisors, whose sum is σ = 40013393606784. Its totient is φ = 3422062264320.

The previous prime is 12042108859961. The next prime is 12042108860057. The reversal of 12042108859968 is 86995880124021.

12042108859968 is a `hidden beast` number, since 1 + 20 + 4 + 2 + 10 + 8 + 8 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×12042108859968² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12042108859961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29634421 + ... + 30038027.

Almost surely, 2^{12042108859968} is an apocalyptic number.

12042108859968 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 12042108859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20006696803392).

12042108859968 is an abundant number, since it is smaller than the sum of its proper divisors (27971284746816).

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

12042108859968 is a wasteful number, since it uses less digits than its factorization.

12042108859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403930 (or 403917 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 12042108859968 in words is "twelve trillion, forty-two billion, one hundred eight million, eight hundred fifty-nine thousand, nine hundred sixty-eight".