1171239230304 has 1344 divisors, whose sum is σ = 4531076444160. Its totient is φ = 291850076160.

The previous prime is 1171239230269. The next prime is 1171239230339. The reversal of 1171239230304 is 4030329321711.

1171239230304 is a `hidden beast` number, since 117 + 1 + 2 + 3 + 9 + 230 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (1171239230269) and next prime (1171239230339).

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 (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1077496449 + ... + 1077497535.

It is an arithmetic number, because the mean of its divisors is an integer number (3371336640).

Almost surely, 2^{1171239230304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1171239230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265538222080).

1171239230304 is an abundant number, since it is smaller than the sum of its proper divisors (3359837213856).

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

1171239230304 is a wasteful number, since it uses less digits than its factorization.

1171239230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 1171239230304 in words is "one trillion, one hundred seventy-one billion, two hundred thirty-nine million, two hundred thirty thousand, three hundred four".