123233405200 has 60 divisors (see below), whose sum is σ = 296814402340. Its totient is φ = 49169134080.

The previous prime is 123233405179. The next prime is 123233405231. The reversal of 123233405200 is 2504332321.

It can be written as a sum of positive squares in 6 ways, for example, as 5951813904 + 117281591296 = 77148^2 + 342464^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 229215 + ... + 546814.

Almost surely, 2^123233405200 is an apocalyptic number.

123233405200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123233405200 is an abundant number, since it is smaller than the sum of its proper divisors (173580997140).

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

123233405200 is a wasteful number, since it uses less digits than its factorization.

123233405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776444 (or 776433 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 123233405200 its reverse (2504332321), we get a palindrome (125737737521).

The spelling of 123233405200 in words is "one hundred twenty-three billion, two hundred thirty-three million, four hundred five thousand, two hundred".