1177255881120 has 192 divisors, whose sum is σ = 4047238452096. Its totient is φ = 285271265280.

The previous prime is 1177255881119. The next prime is 1177255881127. The reversal of 1177255881120 is 211885527711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1177255881120.

It is not an unprimeable number, because it can be changed into a prime (1177255881127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12397662 + ... + 12492258.

It is an arithmetic number, because the mean of its divisors is an integer number (21079366938).

Almost surely, 2^{1177255881120} is an apocalyptic number.

1177255881120 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 1177255881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023619226048).

1177255881120 is an abundant number, since it is smaller than the sum of its proper divisors (2869982570976).

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

1177255881120 is a wasteful number, since it uses less digits than its factorization.

1177255881120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96983 (or 96975 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 48.

The spelling of 1177255881120 in words is "one trillion, one hundred seventy-seven billion, two hundred fifty-five million, eight hundred eighty-one thousand, one hundred twenty".