11121891424224 has 192 divisors, whose sum is σ = 34446730493952. Its totient is φ = 3074753779200.

The previous prime is 11121891424211. The next prime is 11121891424271. The reversal of 11121891424224 is 42242419812111.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170102259 + ... + 170167629.

It is an arithmetic number, because the mean of its divisors is an integer number (179410054656).

Almost surely, 2^{11121891424224} is an apocalyptic number.

11121891424224 is a gapful number since it is divisible by the number (14) 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 11121891424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17223365246976).

11121891424224 is an abundant number, since it is smaller than the sum of its proper divisors (23324839069728).

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

11121891424224 is a wasteful number, since it uses less digits than its factorization.

11121891424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73589 (or 73581 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The spelling of 11121891424224 in words is "eleven trillion, one hundred twenty-one billion, eight hundred ninety-one million, four hundred twenty-four thousand, two hundred twenty-four".