11221121243040 has 48 divisors (see below), whose sum is σ = 35346531917088. Its totient is φ = 2992298998016.

The previous prime is 11221121243029. The next prime is 11221121243071. The reversal of 11221121243040 is 4034212112211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11221121243040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11688667482 + ... + 11688668441.

It is an arithmetic number, because the mean of its divisors is an integer number (736386081606).

Almost surely, 2^{11221121243040} is an apocalyptic number.

11221121243040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221121243040 is an abundant number, since it is smaller than the sum of its proper divisors (24125410674048).

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

11221121243040 is a wasteful number, since it uses less digits than its factorization.

11221121243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23377335941 (or 23377335933 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11221121243040 its reverse (4034212112211), we get a palindrome (15255333355251).

The spelling of 11221121243040 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred forty-three thousand, forty".