11120967936 has 189 divisors, whose sum is σ = 34736532649. Its totient is φ = 3421836288.

The previous prime is 11120967929. The next prime is 11120967941. The reversal of 11120967936 is 63976902111.

The square root of 11120967936 is 105456.

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 9541382400 + 1579585536 = 97680^2 + 39744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11120967891 and 11120967900.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 855459066 + ... + 855459078.

Almost surely, 2^11120967936 is an apocalyptic number.

11120967936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11120967936 is the 105456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120967936

11120967936 is an abundant number, since it is smaller than the sum of its proper divisors (23615564713).

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

11120967936 is an frugal number, since it uses more digits than its factorization.

11120967936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 11120967936 in words is "eleven billion, one hundred twenty million, nine hundred sixty-seven thousand, nine hundred thirty-six".