1197728000 has 144 divisors (see below), whose sum is σ = 3410569344. Its totient is φ = 410572800.

The previous prime is 1197727987. The next prime is 1197728011. The reversal of 1197728000 is 8277911.

1197728000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221327 + ... + 226673.

Almost surely, 2^1197728000 is an apocalyptic number.

1197728000 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 1197728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705284672).

1197728000 is an abundant number, since it is smaller than the sum of its proper divisors (2212841344).

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

1197728000 is an frugal number, since it uses more digits than its factorization.

1197728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5385 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 35.

The square root of 1197728000 is about 34608.2071191213. The cubic root of 1197728000 is about 1061.9874898483.

The spelling of 1197728000 in words is "one billion, one hundred ninety-seven million, seven hundred twenty-eight thousand".