11124331011420 has 384 divisors, whose sum is σ = 35916041613312. Its totient is φ = 2548477132800.

The previous prime is 11124331011401. The next prime is 11124331011421. The reversal of 11124331011420 is 2411013342111.

11124331011420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124331011421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123321454 + ... + 123411626.

It is an arithmetic number, because the mean of its divisors is an integer number (93531358368).

Almost surely, 2^{11124331011420} is an apocalyptic number.

11124331011420 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 11124331011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17958020806656).

11124331011420 is an abundant number, since it is smaller than the sum of its proper divisors (24791710601892).

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

11124331011420 is a wasteful number, since it uses less digits than its factorization.

11124331011420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90381 (or 90379 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11124331011420 its reverse (2411013342111), we get a palindrome (13535344353531).

The spelling of 11124331011420 in words is "eleven trillion, one hundred twenty-four billion, three hundred thirty-one million, eleven thousand, four hundred twenty".