12102116544 has 168 divisors, whose sum is σ = 39845894400. Its totient is φ = 3440143872.

The previous prime is 12102116501. The next prime is 12102116549. The reversal of 12102116544 is 44561120121.

12102116544 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 2 + 1 + 1 + 654 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×12102116544² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12102116549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 794827 + ... + 809909.

Almost surely, 2^12102116544 is an apocalyptic number.

12102116544 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 12102116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922947200).

12102116544 is an abundant number, since it is smaller than the sum of its proper divisors (27743777856).

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

12102116544 is a wasteful number, since it uses less digits than its factorization.

12102116544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15307 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 12102116544 its reverse (44561120121), we get a palindrome (56663236665).

The spelling of 12102116544 in words is "twelve billion, one hundred two million, one hundred sixteen thousand, five hundred forty-four".