111221200000000 has 396 divisors, whose sum is σ = 280770694135956. Its totient is φ = 44032000000000.

The previous prime is 111221199999997. The next prime is 111221200000007. The reversal of 111221200000000 is 2122111.

It can be written as a sum of positive squares in 18 ways, for example, as 53868084102144 + 57353115897856 = 7339488^2 + 7573184^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111221200000007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40399998624 + ... + 40400001376.

Almost surely, 2^{111221200000000} is an apocalyptic number.

111221200000000 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 111221200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140385347067978).

111221200000000 is an abundant number, since it is smaller than the sum of its proper divisors (169549494135956).

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

111221200000000 is an frugal number, since it uses more digits than its factorization.

111221200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 111221200000000 its reverse (2122111), we get a palindrome (111221202122111).

The spelling of 111221200000000 in words is "one hundred eleven trillion, two hundred twenty-one billion, two hundred million", and thus it is an aban number.