11225001120520 has 256 divisors, whose sum is σ = 29689340313600. Its totient is φ = 3773812224000.

The previous prime is 11225001120511. The next prime is 11225001120533. The reversal of 11225001120520 is 2502110052211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11225001120491 and 11225001120500.

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 63 ways as a sum of consecutive naturals, for example, 649173075 + ... + 649190365.

It is an arithmetic number, because the mean of its divisors is an integer number (115973985600).

Almost surely, 2^{11225001120520} is an apocalyptic number.

11225001120520 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 11225001120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844670156800).

11225001120520 is an abundant number, since it is smaller than the sum of its proper divisors (18464339193080).

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

11225001120520 is a wasteful number, since it uses less digits than its factorization.

11225001120520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18860 (or 18856 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 11225001120520 its reverse (2502110052211), we get a palindrome (13727111172731).

The spelling of 11225001120520 in words is "eleven trillion, two hundred twenty-five billion, one million, one hundred twenty thousand, five hundred twenty".