1193420661300 has 324 divisors, whose sum is σ = 4373559410220. Its totient is φ = 271395210240.

The previous prime is 1193420661289. The next prime is 1193420661319. The reversal of 1193420661300 is 31660243911.

1193420661300 is a `hidden beast` number, since 1 + 1 + 9 + 34 + 2 + 0 + 6 + 613 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2240507556 + 1191180153744 = 47334^2 + 1091412^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8619016 + ... + 8756384.

It is an arithmetic number, because the mean of its divisors is an integer number (13498640155).

Almost surely, 2^{1193420661300} is an apocalyptic number.

1193420661300 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 1193420661300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186779705110).

1193420661300 is an abundant number, since it is smaller than the sum of its proper divisors (3180138748920).

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

1193420661300 is a wasteful number, since it uses less digits than its factorization.

1193420661300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137600 (or 137583 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 1193420661300 in words is "one trillion, one hundred ninety-three billion, four hundred twenty million, six hundred sixty-one thousand, three hundred".