21120133144 has 64 divisors (see below), whose sum is σ = 43906406400. Its totient is φ = 9443750400.

The previous prime is 21120133117. The next prime is 21120133201. The reversal of 21120133144 is 44133102112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2989264 + ... + 2996320.

It is an arithmetic number, because the mean of its divisors is an integer number (686037600).

Almost surely, 2^21120133144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120133144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21953203200).

21120133144 is an abundant number, since it is smaller than the sum of its proper divisors (22786273256).

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

21120133144 is a wasteful number, since it uses less digits than its factorization.

21120133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7624 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 21120133144 its reverse (44133102112), we get a palindrome (65253235256).

The spelling of 21120133144 in words is "twenty-one billion, one hundred twenty million, one hundred thirty-three thousand, one hundred forty-four".