111431341141120 has 1152 divisors, whose sum is σ = 386125595956800. Its totient is φ = 30372533452800.

The previous prime is 111431341141091. The next prime is 111431341141151. The reversal of 111431341141120 is 21141143134111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 937196875 + ... + 937315765.

Almost surely, 2^{111431341141120} is an apocalyptic number.

111431341141120 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 111431341141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193062797978400).

111431341141120 is an abundant number, since it is smaller than the sum of its proper divisors (274694254815680).

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

111431341141120 is a wasteful number, since it uses less digits than its factorization.

111431341141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118978 (or 118948 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 111431341141120 its reverse (21141143134111), we get a palindrome (132572484275231).

The spelling of 111431341141120 in words is "one hundred eleven trillion, four hundred thirty-one billion, three hundred forty-one million, one hundred forty-one thousand, one hundred twenty".