1197144000 has 336 divisors, whose sum is σ = 4615403520. Its totient is φ = 294451200.

The previous prime is 1197143977. The next prime is 1197144031. The reversal of 1197144000 is 4417911.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935361 + ... + 936639.

It is an arithmetic number, because the mean of its divisors is an integer number (13736320).

Almost surely, 2^1197144000 is an apocalyptic number.

1197144000 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 1197144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307701760).

1197144000 is an abundant number, since it is smaller than the sum of its proper divisors (3418259520).

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

1197144000 is a wasteful number, since it uses less digits than its factorization.

1197144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1197144000 is about 34599.7687853546. The cubic root of 1197144000 is about 1061.8148570183.

The spelling of 1197144000 in words is "one billion, one hundred ninety-seven million, one hundred forty-four thousand".