2241122311120 has 160 divisors (see below), whose sum is σ = 6559417313280. Its totient is φ = 691749573120.

The previous prime is 2241122310991. The next prime is 2241122311121. The reversal of 2241122311120 is 211132211422.

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 = 2241122311091 and 2241122311100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241122311121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1131630 + ... + 2400589.

It is an arithmetic number, because the mean of its divisors is an integer number (40996358208).

Almost surely, 2^{2241122311120} is an apocalyptic number.

2241122311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241122311120 is an abundant number, since it is smaller than the sum of its proper divisors (4318295002160).

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

2241122311120 is a wasteful number, since it uses less digits than its factorization.

2241122311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532353 (or 3532347 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 2241122311120 its reverse (211132211422), we get a palindrome (2452254522542).

The spelling of 2241122311120 in words is "two trillion, two hundred forty-one billion, one hundred twenty-two million, three hundred eleven thousand, one hundred twenty".