11113121022000 has 320 divisors, whose sum is σ = 36297453004800. Its totient is φ = 2924758886400.

The previous prime is 11113121021983. The next prime is 11113121022007. The reversal of 11113121022000 is 22012131111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11113121022007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1923015111 + ... + 1923020889.

It is an arithmetic number, because the mean of its divisors is an integer number (113429540640).

Almost surely, 2^{11113121022000} is an apocalyptic number.

11113121022000 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 11113121022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18148726502400).

11113121022000 is an abundant number, since it is smaller than the sum of its proper divisors (25184331982800).

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

11113121022000 is a wasteful number, since it uses less digits than its factorization.

11113121022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9941 (or 9925 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11113121022000 its reverse (22012131111), we get a palindrome (11135133153111).

It can be divided in two parts, 1111312 and 1022000, that added together give a palindrome (2133312).

The spelling of 11113121022000 in words is "eleven trillion, one hundred thirteen billion, one hundred twenty-one million, twenty-two thousand".