12242291539968 has 1440 divisors, whose sum is σ = 44517990666240. Its totient is φ = 3286334177280.

The previous prime is 12242291539967. The next prime is 12242291539981. The reversal of 12242291539968 is 86993519224221.

12242291539968 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 2 + 2 + 9 + 1 + 539 + 96 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12242291539967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45510377338 + ... + 45510377606.

It is an arithmetic number, because the mean of its divisors is an integer number (30915271296).

Almost surely, 2^{12242291539968} is an apocalyptic number.

12242291539968 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 12242291539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22258995333120).

12242291539968 is an abundant number, since it is smaller than the sum of its proper divisors (32275699126272).

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

12242291539968 is an frugal number, since it uses more digits than its factorization.

12242291539968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 375 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 12242291539968 in words is "twelve trillion, two hundred forty-two billion, two hundred ninety-one million, five hundred thirty-nine thousand, nine hundred sixty-eight".