111142416000 has 512 divisors, whose sum is σ = 459365437440. Its totient is φ = 23093760000.

The previous prime is 111142415981. The next prime is 111142416013. The reversal of 111142416000 is 614241111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3680965 + ... + 3711035.

It is an arithmetic number, because the mean of its divisors is an integer number (897198120).

Almost surely, 2^111142416000 is an apocalyptic number.

111142416000 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 111142416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229682718720).

111142416000 is an abundant number, since it is smaller than the sum of its proper divisors (348223021440).

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

111142416000 is a wasteful number, since it uses less digits than its factorization.

111142416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30121 (or 30099 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 111142416000 its reverse (614241111), we get a palindrome (111756657111).

The spelling of 111142416000 in words is "one hundred eleven billion, one hundred forty-two million, four hundred sixteen thousand".