111221010211200 has 192 divisors, whose sum is σ = 368175084096000. Its totient is φ = 29509895669760.

The previous prime is 111221010211133. The next prime is 111221010211237. The reversal of 111221010211200 is 2112010122111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×111221010211200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111221010211200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27198952 + ... + 31019751.

It is an arithmetic number, because the mean of its divisors is an integer number (1917578563000).

Almost surely, 2^{111221010211200} is an apocalyptic number.

111221010211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111221010211200 is an abundant number, since it is smaller than the sum of its proper divisors (256954073884800).

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

111221010211200 is a wasteful number, since it uses less digits than its factorization.

111221010211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58218929 (or 58218912 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111221010211200 its reverse (2112010122111), we get a palindrome (113333020333311).

The spelling of 111221010211200 in words is "one hundred eleven trillion, two hundred twenty-one billion, ten million, two hundred eleven thousand, two hundred".