11289203712 has 352 divisors, whose sum is σ = 35820207360. Its totient is φ = 3503554560.

The previous prime is 11289203707. The next prime is 11289203741. The reversal of 11289203712 is 21730298211.

11289203712 is a `hidden beast` number, since 1 + 1 + 289 + 2 + 0 + 371 + 2 = 666.

It is a super-2 number, since 2×11289203712² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26071848 + ... + 26072280.

Almost surely, 2^11289203712 is an apocalyptic number.

11289203712 is a gapful number since it is divisible by the number (12) 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 11289203712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17910103680).

11289203712 is an abundant number, since it is smaller than the sum of its proper divisors (24531003648).

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

11289203712 is a wasteful number, since it uses less digits than its factorization.

11289203712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11289203712 in words is "eleven billion, two hundred eighty-nine million, two hundred three thousand, seven hundred twelve".