12100218175872 has 256 divisors, whose sum is σ = 35986235256000. Its totient is φ = 4002572206080.

The previous prime is 12100218175841. The next prime is 12100218175883. The reversal of 12100218175872 is 27857181200121.

It is a super-2 number, since 2×12100218175872² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323438704 + ... + 323476112.

Almost surely, 2^{12100218175872} is an apocalyptic number.

12100218175872 is a gapful number since it is divisible by the number (12) 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 12100218175872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17993117628000).

12100218175872 is an abundant number, since it is smaller than the sum of its proper divisors (23886017080128).

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

12100218175872 is a wasteful number, since it uses less digits than its factorization.

12100218175872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38146 (or 38128 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

Adding to 12100218175872 its reverse (27857181200121), we get a palindrome (39957399375993).

The spelling of 12100218175872 in words is "twelve trillion, one hundred billion, two hundred eighteen million, one hundred seventy-five thousand, eight hundred seventy-two".