123432352400 has 180 divisors, whose sum is σ = 363118924080. Its totient is φ = 40092192000.

The previous prime is 123432352369. The next prime is 123432352429. The reversal of 123432352400 is 4253234321.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 206675 + ... + 538125.

It is an arithmetic number, because the mean of its divisors is an integer number (2017327356).

Almost surely, 2^123432352400 is an apocalyptic number.

123432352400 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 123432352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181559462040).

123432352400 is an abundant number, since it is smaller than the sum of its proper divisors (239686571680).

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

123432352400 is a wasteful number, since it uses less digits than its factorization.

123432352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331502 (or 331484 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 123432352400 its reverse (4253234321), we get a palindrome (127685586721).

The spelling of 123432352400 in words is "one hundred twenty-three billion, four hundred thirty-two million, three hundred fifty-two thousand, four hundred".