111552000 has 320 divisors, whose sum is σ = 428972544. Its totient is φ = 25190400.

The previous prime is 111551971. The next prime is 111552031. The reversal of 111552000 is 255111.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343959 + ... + 1344041.

Almost surely, 2^111552000 is an apocalyptic number.

111552000 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 111552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

111552000 is an abundant number, since it is smaller than the sum of its proper divisors (317420544).

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

111552000 is an frugal number, since it uses more digits than its factorization.

111552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 111552000 is about 10561.8180253212. The cubic root of 111552000 is about 481.3848893824.

The spelling of 111552000 in words is "one hundred eleven million, five hundred fifty-two thousand".