123323200000 has 1080 divisors, whose sum is σ = 424094270292. Its totient is φ = 35481600000.

The previous prime is 123323199953. The next prime is 123323200051. The reversal of 123323200000 is 2323321.

It can be written as a sum of positive squares in 6 ways, for example, as 33697210624 + 89625989376 = 183568^2 + 299376^2 .

It is a super-2 number, since 2×123323200000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9486399994 + ... + 9486400006.

Almost surely, 2^123323200000 is an apocalyptic number.

123323200000 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 123323200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212047135146).

123323200000 is an abundant number, since it is smaller than the sum of its proper divisors (300771070292).

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

123323200000 is an frugal number, since it uses more digits than its factorization.

123323200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 123323200000 its reverse (2323321), we get a palindrome (123325523321).

It can be divided in two parts, 123323 and 200000, that added together give a palindrome (323323).

The spelling of 123323200000 in words is "one hundred twenty-three billion, three hundred twenty-three million, two hundred thousand".