12102223220172 has 240 divisors, whose sum is σ = 32407055670528. Its totient is φ = 3937234055040.

The previous prime is 12102223220167. The next prime is 12102223220173. The reversal of 12102223220172 is 27102232220121.

12102223220172 is a `hidden beast` number, since 1 + 210 + 2 + 223 + 220 + 1 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12102223220173) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1149194547 + ... + 1149205077.

Almost surely, 2^{12102223220172} is an apocalyptic number.

12102223220172 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 12102223220172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16203527835264).

12102223220172 is an abundant number, since it is smaller than the sum of its proper divisors (20304832450356).

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

12102223220172 is a wasteful number, since it uses less digits than its factorization.

12102223220172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11098 (or 11087 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 12102223220172 its reverse (27102232220121), we get a palindrome (39204455440293).

The spelling of 12102223220172 in words is "twelve trillion, one hundred two billion, two hundred twenty-three million, two hundred twenty thousand, one hundred seventy-two".