11302122240000 has 960 divisors, whose sum is σ = 44299350295200. Its totient is φ = 2836463616000.

The previous prime is 11302122239971. The next prime is 11302122240001. The reversal of 11302122240000 is 4222120311.

It is a happy number.

11302122240000 is a `hidden beast` number, since 1 + 1 + 30 + 212 + 22 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (11302122240001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 587510382 + ... + 587529618.

Almost surely, 2^{11302122240000} is an apocalyptic number.

11302122240000 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 11302122240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22149675147600).

11302122240000 is an abundant number, since it is smaller than the sum of its proper divisors (32997228055200).

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

11302122240000 is an equidigital number, since it uses as much as digits as its factorization.

11302122240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19305 (or 19264 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11302122240000 its reverse (4222120311), we get a palindrome (11306344360311).

The spelling of 11302122240000 in words is "eleven trillion, three hundred two billion, one hundred twenty-two million, two hundred forty thousand".