1180350712800 has 432 divisors, whose sum is σ = 4776600340512. Its totient is φ = 268672204800.

The previous prime is 1180350712799. The next prime is 1180350712847. The reversal of 1180350712800 is 82170530811.

1180350712800 is a `hidden beast` number, since 1 + 180 + 350 + 7 + 128 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 12097812 + ... + 12194988.

Almost surely, 2^{1180350712800} is an apocalyptic number.

1180350712800 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 1180350712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388300170256).

1180350712800 is an abundant number, since it is smaller than the sum of its proper divisors (3596249627712).

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

1180350712800 is a wasteful number, since it uses less digits than its factorization.

1180350712800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97451 (or 97435 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 1180350712800 in words is "one trillion, one hundred eighty billion, three hundred fifty million, seven hundred twelve thousand, eight hundred".