1189208817216 has 560 divisors, whose sum is σ = 4083587732224. Its totient is φ = 335179689984.

The previous prime is 1189208817187. The next prime is 1189208817253. The reversal of 1189208817216 is 6127188029811.

It is a super-2 number, since 2×1189208817216² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1394148246 + ... + 1394149098.

Almost surely, 2^{1189208817216} is an apocalyptic number.

1189208817216 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 1189208817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041793866112).

1189208817216 is an abundant number, since it is smaller than the sum of its proper divisors (2894378915008).

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

1189208817216 is a wasteful number, since it uses less digits than its factorization.

1189208817216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 1189208817216 in words is "one trillion, one hundred eighty-nine billion, two hundred eight million, eight hundred seventeen thousand, two hundred sixteen".