4412123120 has 160 divisors (see below), whose sum is σ = 11034150912. Its totient is φ = 1636816896.

The previous prime is 4412123069. The next prime is 4412123123. The reversal of 4412123120 is 213212144.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4412123092 and 4412123101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412123123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14096084 + ... + 14096396.

Almost surely, 2^4412123120 is an apocalyptic number.

4412123120 is a gapful number since it is divisible by the number (40) 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 4412123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517075456).

4412123120 is an abundant number, since it is smaller than the sum of its proper divisors (6622027792).

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

4412123120 is a wasteful number, since it uses less digits than its factorization.

4412123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4412123120 is about 66423.8144041728. The cubic root of 4412123120 is about 1640.1461202347.

Adding to 4412123120 its reverse (213212144), we get a palindrome (4625335264).

The spelling of 4412123120 in words is "four billion, four hundred twelve million, one hundred twenty-three thousand, one hundred twenty".