4123313120 has 72 divisors (see below), whose sum is σ = 10281156984. Its totient is φ = 1562496768.

The previous prime is 4123313111. The next prime is 4123313179. The reversal of 4123313120 is 213133214.

4123313120 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-2 number, since 2×4123313120² = 34003422171128268800, which contains 22 as substring.

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 = 4123313092 and 4123313101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22067 + ... + 93453.

It is an arithmetic number, because the mean of its divisors is an integer number (142793847).

Almost surely, 2^4123313120 is an apocalyptic number.

4123313120 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 4123313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140578492).

4123313120 is an abundant number, since it is smaller than the sum of its proper divisors (6157843864).

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

4123313120 is a wasteful number, since it uses less digits than its factorization.

4123313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71440 (or 71413 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 4123313120 is about 64213.0292074747. The cubic root of 4123313120 is about 1603.5485200188.

Adding to 4123313120 its reverse (213133214), we get a palindrome (4336446334).

The spelling of 4123313120 in words is "four billion, one hundred twenty-three million, three hundred thirteen thousand, one hundred twenty".