111201202112000 has 3840 divisors, whose sum is σ = 412740222935040. Its totient is φ = 29262643200000.

The previous prime is 111201202111931. The next prime is 111201202112027. The reversal of 111201202112000 is 211202102111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 264135871790 + ... + 264135872210.

It is an arithmetic number, because the mean of its divisors is an integer number (107484433056).

Almost surely, 2^{111201202112000} is an apocalyptic number.

111201202112000 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 111201202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206370111467520).

111201202112000 is an abundant number, since it is smaller than the sum of its proper divisors (301539020823040).

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

111201202112000 is a wasteful number, since it uses less digits than its factorization.

111201202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111201202112000 its reverse (211202102111), we get a palindrome (111412404214111).

The spelling of 111201202112000 in words is "one hundred eleven trillion, two hundred one billion, two hundred two million, one hundred twelve thousand".