433130123123200 has 120 divisors (see below), whose sum is σ = 1073249480761920. Its totient is φ = 173230130688000.

The previous prime is 433130123123189. The next prime is 433130123123351. The reversal of 433130123123200 is 2321321031334.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99226675 + ... + 103499725.

It is an arithmetic number, because the mean of its divisors is an integer number (8943745673016).

Almost surely, 2^{433130123123200} is an apocalyptic number.

433130123123200 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 433130123123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536624740380960).

433130123123200 is an abundant number, since it is smaller than the sum of its proper divisors (640119357638720).

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

433130123123200 is an equidigital number, since it uses as much as digits as its factorization.

433130123123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280998 (or 4280977 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 433130123123200 its reverse (2321321031334), we get a palindrome (435451444154534).

The spelling of 433130123123200 in words is "four hundred thirty-three trillion, one hundred thirty billion, one hundred twenty-three million, one hundred twenty-three thousand, two hundred".