1188630643200 has 2880 divisors, whose sum is σ = 5652736201728. Its totient is φ = 212572569600.

The previous prime is 1188630643159. The next prime is 1188630643247. The reversal of 1188630643200 is 23460368811.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11108697547 + ... + 11108697653.

Almost surely, 2^{1188630643200} is an apocalyptic number.

1188630643200 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 1188630643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826368100864).

1188630643200 is an abundant number, since it is smaller than the sum of its proper divisors (4464105558528).

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

1188630643200 is a wasteful number, since it uses less digits than its factorization.

1188630643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 1188630643200 in words is "one trillion, one hundred eighty-eight billion, six hundred thirty million, six hundred forty-three thousand, two hundred".