1188100000000 has 243 divisors, whose sum is σ = 2991893487681. Its totient is φ = 470880000000.

The previous prime is 1188099999959. The next prime is 1188100000001. The reversal of 1188100000000 is 18811.

The square root of 1188100000000 is 1090000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 197804341504 + 990295658496 = 444752^2 + 995136^2 .

It is a super-2 number, since 2×1188100000000² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1188100000001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10899999946 + ... + 10900000054.

Almost surely, 2^{1188100000000} is an apocalyptic number.

1188100000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1188100000000 is the 1090000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1188100000000

1188100000000 is an abundant number, since it is smaller than the sum of its proper divisors (1803793487681).

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

1188100000000 is an frugal number, since it uses more digits than its factorization.

1188100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Multiplying 1188100000000 by its product of nonzero digits (64), we get a square (76038400000000 = 8720000²).

1188100000000 divided by its product of nonzero digits (64) gives a square (18564062500 = 136250²).

Adding to 1188100000000 its reverse (18811), we get a palindrome (1188100018811).

The spelling of 1188100000000 in words is "one trillion, one hundred eighty-eight billion, one hundred million", and thus it is an aban number.