123352442400 has 144 divisors (see below), whose sum is σ = 438013402848. Its totient is φ = 29903616000.

The previous prime is 123352442383. The next prime is 123352442419. The reversal of 123352442400 is 4244253321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2309821 + ... + 2362620.

It is an arithmetic number, because the mean of its divisors is an integer number (3041759742).

Almost surely, 2^123352442400 is an apocalyptic number.

123352442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123352442400 is an abundant number, since it is smaller than the sum of its proper divisors (314660960448).

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

123352442400 is a wasteful number, since it uses less digits than its factorization.

123352442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672475 (or 4672462 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 123352442400 its reverse (4244253321), we get a palindrome (127596695721).

The spelling of 123352442400 in words is "one hundred twenty-three billion, three hundred fifty-two million, four hundred forty-two thousand, four hundred".