123117144200 has 108 divisors (see below), whose sum is σ = 293567869215. Its totient is φ = 48018216960.

The previous prime is 123117144193. The next prime is 123117144203. The reversal of 123117144200 is 2441711321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 116979048484 + 6138095716 = 342022^2 + 78346^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=248110.

It is a self number, because there is not a number n which added to its sum of digits gives 123117144200.

It is not an unprimeable number, because it can be changed into a prime (123117144203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 213374312 + ... + 213374888.

Almost surely, 2^123117144200 is an apocalyptic number.

123117144200 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 123117144200

123117144200 is an abundant number, since it is smaller than the sum of its proper divisors (170450725015).

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

123117144200 is an frugal number, since it uses more digits than its factorization.

123117144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 123117144200 its reverse (2441711321), we get a palindrome (125558855521).

The spelling of 123117144200 in words is "one hundred twenty-three billion, one hundred seventeen million, one hundred forty-four thousand, two hundred".