11022424113000 has 512 divisors, whose sum is σ = 38345104512000. Its totient is φ = 2621826662400.

The previous prime is 11022424112923. The next prime is 11022424113067. The reversal of 11022424113000 is 31142422011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127813896 + ... + 127900104.

It is an arithmetic number, because the mean of its divisors is an integer number (74892782250).

Almost surely, 2^{11022424113000} is an apocalyptic number.

11022424113000 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 11022424113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19172552256000).

11022424113000 is an abundant number, since it is smaller than the sum of its proper divisors (27322680399000).

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

11022424113000 is a wasteful number, since it uses less digits than its factorization.

11022424113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86382 (or 86368 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11022424113000 its reverse (31142422011), we get a palindrome (11053566535011).

The spelling of 11022424113000 in words is "eleven trillion, twenty-two billion, four hundred twenty-four million, one hundred thirteen thousand".