111202131000444 has 192 divisors, whose sum is σ = 291963399436800. Its totient is φ = 32645774545920.

The previous prime is 111202131000439. The next prime is 111202131000449. The reversal of 111202131000444 is 444000131202111.

It is a happy number.

111202131000444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (111202131000439) and next prime (111202131000449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111202131000449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1357755007 + ... + 1357836905.

It is an arithmetic number, because the mean of its divisors is an integer number (1520642705400).

Almost surely, 2^{111202131000444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111202131000444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145981699718400).

111202131000444 is an abundant number, since it is smaller than the sum of its proper divisors (180761268436356).

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

111202131000444 is a wasteful number, since it uses less digits than its factorization.

111202131000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83148 (or 83146 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 111202131000444 its reverse (444000131202111), we get a palindrome (555202262202555).

The spelling of 111202131000444 in words is "one hundred eleven trillion, two hundred two billion, one hundred thirty-one million, four hundred forty-four", and thus it is an aban number.