11120256000 has 792 divisors, whose sum is σ = 46851752376. Its totient is φ = 2528870400.

The previous prime is 11120255963. The next prime is 11120256001. The reversal of 11120256000 is 65202111.

It can be written as a sum of positive squares in 4 ways, for example, as 130507776 + 10989748224 = 11424^2 + 104832^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120256001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56447902 + ... + 56448098.

It is an arithmetic number, because the mean of its divisors is an integer number (59156253).

Almost surely, 2^11120256000 is an apocalyptic number.

11120256000 is a gapful number since it is divisible by the number (10) 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 11120256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23425876188).

11120256000 is an abundant number, since it is smaller than the sum of its proper divisors (35731496376).

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

11120256000 is a wasteful number, since it uses less digits than its factorization.

11120256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11120256000 its reverse (65202111), we get a palindrome (11185458111).

The spelling of 11120256000 in words is "eleven billion, one hundred twenty million, two hundred fifty-six thousand".