1188120960 has 640 divisors, whose sum is σ = 4789683360. Its totient is φ = 278691840.

The previous prime is 1188120889. The next prime is 1188120961. The reversal of 1188120960 is 690218811.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1188120961) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 27630699 + ... + 27630741.

Almost surely, 2^1188120960 is an apocalyptic number.

1188120960 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 1188120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394841680).

1188120960 is an abundant number, since it is smaller than the sum of its proper divisors (3601562400).

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

1188120960 is a wasteful number, since it uses less digits than its factorization.

1188120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1188120960 is about 34469.1305373373. The cubic root of 1188120960 is about 1059.1404447428.

The spelling of 1188120960 in words is "one billion, one hundred eighty-eight million, one hundred twenty thousand, nine hundred sixty".