1188405201105 has 12 divisors (see below), whose sum is σ = 2059902348660. Its totient is φ = 633816107232.

The previous prime is 1188405201031. The next prime is 1188405201143. The reversal of 1188405201105 is 5011025048811.

1188405201105 is a `hidden beast` number, since 1 + 1 + 88 + 40 + 520 + 1 + 10 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 236767881744 + 951637319361 = 486588^2 + 975519^2 .

It is not a de Polignac number, because 1188405201105 - 2⁷ = 1188405200977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1188405201105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13204502190 + ... + 13204502279.

It is an arithmetic number, because the mean of its divisors is an integer number (171658529055).

Almost surely, 2^{1188405201105} is an apocalyptic number.

1188405201105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1188405201105 is a deficient number, since it is larger than the sum of its proper divisors (871497147555).

1188405201105 is a wasteful number, since it uses less digits than its factorization.

1188405201105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26409004480 (or 26409004477 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The spelling of 1188405201105 in words is "one trillion, one hundred eighty-eight billion, four hundred five million, two hundred one thousand, one hundred five".