119728000 has 128 divisors (see below), whose sum is σ = 340516800. Its totient is φ = 41011200.

The previous prime is 119727977. The next prime is 119728003. The reversal of 119728000 is 827911.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 119728000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119728003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111466 + ... + 112534.

Almost surely, 2^119728000 is an apocalyptic number.

119728000 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 119728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170258400).

119728000 is an abundant number, since it is smaller than the sum of its proper divisors (220788800).

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

119728000 is an equidigital number, since it uses as much as digits as its factorization.

119728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 119728000 is about 10942.0290622900. The cubic root of 119728000 is about 492.8694608898.

The spelling of 119728000 in words is "one hundred nineteen million, seven hundred twenty-eight thousand".