2225171481120 has 1728 divisors, whose sum is σ = 9832442981760. Its totient is φ = 468223193088.

The previous prime is 2225171481089. The next prime is 2225171481133. The reversal of 2225171481120 is 211841715222.

2225171481120 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 171 + 481 + 1 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2827409367 + ... + 2827410153.

It is an arithmetic number, because the mean of its divisors is an integer number (5690071170).

Almost surely, 2^{2225171481120} is an apocalyptic number.

2225171481120 is a gapful number since it is divisible by the number (20) 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 2225171481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916221490880).

2225171481120 is an abundant number, since it is smaller than the sum of its proper divisors (7607271500640).

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

2225171481120 is a wasteful number, since it uses less digits than its factorization.

2225171481120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 2225171481120 in words is "two trillion, two hundred twenty-five billion, one hundred seventy-one million, four hundred eighty-one thousand, one hundred twenty".