111142400000 has 312 divisors, whose sum is σ = 293065461360. Its totient is φ = 42024960000.

The previous prime is 111142399933. The next prime is 111142400021. The reversal of 111142400000 is 4241111.

111142400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243199772 + ... + 243200228.

Almost surely, 2^111142400000 is an apocalyptic number.

111142400000 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 111142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146532730680).

111142400000 is an abundant number, since it is smaller than the sum of its proper divisors (181923061360).

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

111142400000 is an frugal number, since it uses more digits than its factorization.

111142400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 111142400000 its reverse (4241111), we get a palindrome (111146641111).

The spelling of 111142400000 in words is "one hundred eleven billion, one hundred forty-two million, four hundred thousand".