123222434400 has 216 divisors, whose sum is σ = 467937550080. Its totient is φ = 30331653120.

The previous prime is 123222434359. The next prime is 123222434417. The reversal of 123222434400 is 4434222321.

123222434400 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 224 + 34 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564640 + ... + 751839.

Almost surely, 2^123222434400 is an apocalyptic number.

123222434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123222434400 is an abundant number, since it is smaller than the sum of its proper divisors (344715115680).

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

123222434400 is a wasteful number, since it uses less digits than its factorization.

123222434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316518 (or 1316502 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 123222434400 its reverse (4434222321), we get a palindrome (127656656721).

The spelling of 123222434400 in words is "one hundred twenty-three billion, two hundred twenty-two million, four hundred thirty-four thousand, four hundred".