111223402221312 has 288 divisors, whose sum is σ = 329758984396800. Its totient is φ = 36978577256448.

The previous prime is 111223402221299. The next prime is 111223402221397. The reversal of 111223402221312 is 213122204322111.

111223402221312 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 2 + 3 + 402 + 221 + 31 + 2 = 666.

111223402221312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×111223402221312² (a number of 29 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 4288862298 + ... + 4288888230.

It is an arithmetic number, because the mean of its divisors is an integer number (1144996473600).

Almost surely, 2^{111223402221312} is an apocalyptic number.

111223402221312 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 111223402221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164879492198400).

111223402221312 is an abundant number, since it is smaller than the sum of its proper divisors (218535582175488).

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

111223402221312 is an equidigital number, since it uses as much as digits as its factorization.

111223402221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27540 (or 27520 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 111223402221312 its reverse (213122204322111), we get a palindrome (324345606543423).

The spelling of 111223402221312 in words is "one hundred eleven trillion, two hundred twenty-three billion, four hundred two million, two hundred twenty-one thousand, three hundred twelve".