123133342400 has 84 divisors (see below), whose sum is σ = 303854510400. Its totient is φ = 49111987200.

The previous prime is 123133342391. The next prime is 123133342417. The reversal of 123133342400 is 4243331321.

It is a self number, because there is not a number n which added to its sum of digits gives 123133342400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448145 + ... + 668655.

It is an arithmetic number, because the mean of its divisors is an integer number (3617315600).

Almost surely, 2^123133342400 is an apocalyptic number.

123133342400 is a gapful number since it is divisible by the number (10) 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 123133342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151927255200).

123133342400 is an abundant number, since it is smaller than the sum of its proper divisors (180721168000).

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

123133342400 is a wasteful number, since it uses less digits than its factorization.

123133342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220882 (or 220867 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 123133342400 its reverse (4243331321), we get a palindrome (127376673721).

The spelling of 123133342400 in words is "one hundred twenty-three billion, one hundred thirty-three million, three hundred forty-two thousand, four hundred".