111126816000 has 864 divisors, whose sum is σ = 428981769216. Its totient is φ = 28615680000.

The previous prime is 111126815999. The next prime is 111126816001. The reversal of 111126816000 is 618621111.

It is an interprime number because it is at equal distance from previous prime (111126815999) and next prime (111126816001).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111126816001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241055770 + ... + 241056230.

Almost surely, 2^111126816000 is an apocalyptic number.

111126816000 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 111126816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214490884608).

111126816000 is an abundant number, since it is smaller than the sum of its proper divisors (317854953216).

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

111126816000 is an frugal number, since it uses more digits than its factorization.

111126816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 111126816000 in words is "one hundred eleven billion, one hundred twenty-six million, eight hundred sixteen thousand".