10112124144 has 160 divisors (see below), whose sum is σ = 28722090240. Its totient is φ = 3051417600.

The previous prime is 10112124107. The next prime is 10112124151. The reversal of 10112124144 is 44142121101.

10112124144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10112124144³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10112124144.

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 31 ways as a sum of consecutive naturals, for example, 7832139 + ... + 7833429.

It is an arithmetic number, because the mean of its divisors is an integer number (179513064).

Almost surely, 2^10112124144 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 10112124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361045120).

10112124144 is an abundant number, since it is smaller than the sum of its proper divisors (18609966096).

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

10112124144 is a wasteful number, since it uses less digits than its factorization.

10112124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10112124144 its reverse (44142121101), we get a palindrome (54254245245).

The spelling of 10112124144 in words is "ten billion, one hundred twelve million, one hundred twenty-four thousand, one hundred forty-four".