1180319224128 has 224 divisors, whose sum is σ = 3591616896000. Its totient is φ = 338593136640.

The previous prime is 1180319224109. The next prime is 1180319224141. The reversal of 1180319224128 is 8214229130811.

It is a super-2 number, since 2×1180319224128² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1180319224128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4586623 + ... + 4837121.

It is an arithmetic number, because the mean of its divisors is an integer number (16034004000).

Almost surely, 2^{1180319224128} 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 1180319224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795808448000).

1180319224128 is an abundant number, since it is smaller than the sum of its proper divisors (2411297671872).

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

1180319224128 is a wasteful number, since it uses less digits than its factorization.

1180319224128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250645 (or 250635 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 1180319224128 in words is "one trillion, one hundred eighty billion, three hundred nineteen million, two hundred twenty-four thousand, one hundred twenty-eight".