1197123200 has 192 divisors, whose sum is σ = 3640600320. Its totient is φ = 378777600.

The previous prime is 1197123199. The next prime is 1197123203. The reversal of 1197123200 is 23217911.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1197123200.

It is not an unprimeable number, because it can be changed into a prime (1197123203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289145 + ... + 293255.

It is an arithmetic number, because the mean of its divisors is an integer number (18961460).

Almost surely, 2^1197123200 is an apocalyptic number.

1197123200 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 1197123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820300160).

1197123200 is an abundant number, since it is smaller than the sum of its proper divisors (2443477120).

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

1197123200 is a wasteful number, since it uses less digits than its factorization.

1197123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 1197123200 is about 34599.4682040057. The cubic root of 1197123200 is about 1061.8087074164.

The spelling of 1197123200 in words is "one billion, one hundred ninety-seven million, one hundred twenty-three thousand, two hundred".