4123201320 has 320 divisors, whose sum is σ = 15965959680. Its totient is φ = 934861824.

The previous prime is 4123201297. The next prime is 4123201331. The reversal of 4123201320 is 231023214.

4123201320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4123201293 and 4123201302.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3106497 + ... + 3107823.

It is an arithmetic number, because the mean of its divisors is an integer number (49893624).

Almost surely, 2^4123201320 is an apocalyptic number.

4123201320 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 4123201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7982979840).

4123201320 is an abundant number, since it is smaller than the sum of its proper divisors (11842758360).

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

4123201320 is a wasteful number, since it uses less digits than its factorization.

4123201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4123201320 is about 64212.1586617363. The cubic root of 4123201320 is about 1603.5340269530.

Adding to 4123201320 its reverse (231023214), we get a palindrome (4354224534).

The spelling of 4123201320 in words is "four billion, one hundred twenty-three million, two hundred one thousand, three hundred twenty".