1183766121216 has 648 divisors, whose sum is σ = 4362034010880. Its totient is φ = 301547225088.

The previous prime is 1183766121211. The next prime is 1183766121229. The reversal of 1183766121216 is 6121216673811.

1183766121216 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 7 + 6 + 612 + 1 + 21 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1183766121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88552165 + ... + 88565531.

Almost surely, 2^{1183766121216} is an apocalyptic number.

1183766121216 is a gapful number since it is divisible by the number (16) 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 1183766121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181017005440).

1183766121216 is an abundant number, since it is smaller than the sum of its proper divisors (3178267889664).

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

1183766121216 is a wasteful number, since it uses less digits than its factorization.

1183766121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13449 (or 13415 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 1183766121216 in words is "one trillion, one hundred eighty-three billion, seven hundred sixty-six million, one hundred twenty-one thousand, two hundred sixteen".