1182668884992 has 1056 divisors, whose sum is σ = 4310706097152. Its totient is φ = 316546154496.

The previous prime is 1182668884973. The next prime is 1182668884993. The reversal of 1182668884992 is 2994888662811.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1182668884992.

It is not an unprimeable number, because it can be changed into a prime (1182668884993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2123283178 + ... + 2123283734.

Almost surely, 2^{1182668884992} is an apocalyptic number.

1182668884992 is a gapful number since it is divisible by the number (12) 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 1182668884992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155353048576).

1182668884992 is an abundant number, since it is smaller than the sum of its proper divisors (3128037212160).

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

1182668884992 is an equidigital number, since it uses as much as digits as its factorization.

1182668884992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 645 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 72.

The spelling of 1182668884992 in words is "one trillion, one hundred eighty-two billion, six hundred sixty-eight million, eight hundred eighty-four thousand, nine hundred ninety-two".