12116653510500 has 288 divisors, whose sum is σ = 47655901133568. Its totient is φ = 2517746112000.

The previous prime is 12116653510483. The next prime is 12116653510501. The reversal of 12116653510500 is 501535661121.

12116653510500 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 66 + 535 + 10 + 50 + 0 = 666.

It is a super-3 number, since 3×12116653510500³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12116653510501) 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 95 ways as a sum of consecutive naturals, for example, 17137849 + ... + 17830848.

It is an arithmetic number, because the mean of its divisors is an integer number (165471878936).

Almost surely, 2^{12116653510500} is an apocalyptic number.

12116653510500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12116653510500 is an abundant number, since it is smaller than the sum of its proper divisors (35539247623068).

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

12116653510500 is a wasteful number, since it uses less digits than its factorization.

12116653510500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34968740 (or 34968725 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 12116653510500 in words is "twelve trillion, one hundred sixteen billion, six hundred fifty-three million, five hundred ten thousand, five hundred".