4123200000 has 240 divisors, whose sum is σ = 13745682720. Its totient is φ = 1098240000.

The previous prime is 4123199987. The next prime is 4123200001. The reversal of 4123200000 is 23214.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (4123200001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4799571 + ... + 4800429.

It is an arithmetic number, because the mean of its divisors is an integer number (57273678).

Almost surely, 2^4123200000 is an apocalyptic number.

4123200000 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 4123200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6872841360).

4123200000 is an abundant number, since it is smaller than the sum of its proper divisors (9622482720).

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

4123200000 is an frugal number, since it uses more digits than its factorization.

4123200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4123200000 is about 64212.1483833083. The cubic root of 4123200000 is about 1603.5338558347.

Adding to 4123200000 its reverse (23214), we get a palindrome (4123223214).

The spelling of 4123200000 in words is "four billion, one hundred twenty-three million, two hundred thousand".