12102111200000 has 216 divisors, whose sum is σ = 30369133657296. Its totient is φ = 4812807680000.

The previous prime is 12102111199963. The next prime is 12102111200017. The reversal of 12102111200000 is 211120121.

It is a super-2 number, since 2×12102111200000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138356279 + ... + 138443721.

It is an arithmetic number, because the mean of its divisors is an integer number (140597841006).

Almost surely, 2^{12102111200000} is an apocalyptic number.

12102111200000 is a gapful number since it is divisible by the number (10) 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 12102111200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15184566828648).

12102111200000 is an abundant number, since it is smaller than the sum of its proper divisors (18267022457296).

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

12102111200000 is an frugal number, since it uses more digits than its factorization.

12102111200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87657 (or 87623 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12102111200000 its reverse (211120121), we get a palindrome (12102322320121).

The spelling of 12102111200000 in words is "twelve trillion, one hundred two billion, one hundred eleven million, two hundred thousand".