1198109491200 has 1140 divisors, whose sum is σ = 4633310865172. Its totient is φ = 305764761600.

The previous prime is 1198109491129. The next prime is 1198109491217. The reversal of 1198109491200 is 21949018911.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 55228760064 + 1142880731136 = 235008^2 + 1069056^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 19641139170 + ... + 19641139230.

Almost surely, 2^{1198109491200} is an apocalyptic number.

1198109491200 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 1198109491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316655432586).

1198109491200 is an abundant number, since it is smaller than the sum of its proper divisors (3435201373972).

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

1198109491200 is an frugal number, since it uses more digits than its factorization.

1198109491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The spelling of 1198109491200 in words is "one trillion, one hundred ninety-eight billion, one hundred nine million, four hundred ninety-one thousand, two hundred".