11209104000000 has 1617 divisors, whose sum is σ = 43392206349993. Its totient is φ = 2892672000000.

The previous prime is 11209103999963. The next prime is 11209104000011. The reversal of 11209104000000 is 40190211.

The square root of 11209104000000 is 3348000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 9820251177984 + 1388852822016 = 3133728^2 + 1178496^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 361583999985 + ... + 361584000015.

Almost surely, 2^{11209104000000} is an apocalyptic number.

11209104000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11209104000000 is the 3348000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11209104000000

11209104000000 is an abundant number, since it is smaller than the sum of its proper divisors (32183102349993).

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

11209104000000 is an frugal number, since it uses more digits than its factorization.

11209104000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11209104000000 its reverse (40190211), we get a palindrome (11209144190211).

The spelling of 11209104000000 in words is "eleven trillion, two hundred nine billion, one hundred four million", and thus it is an aban number.