123253117200 has 180 divisors, whose sum is σ = 428350189488. Its totient is φ = 32819270400.

The previous prime is 123253117199. The next prime is 123253117213. The reversal of 123253117200 is 2711352321.

123253117200 is a `hidden beast` number, since 1 + 2 + 325 + 311 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2462827 + ... + 2512373.

Almost surely, 2^123253117200 is an apocalyptic number.

123253117200 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 123253117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214175094744).

123253117200 is an abundant number, since it is smaller than the sum of its proper divisors (305097072288).

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

123253117200 is a wasteful number, since it uses less digits than its factorization.

123253117200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50262 (or 50248 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 123253117200 its reverse (2711352321), we get a palindrome (125964469521).

The spelling of 123253117200 in words is "one hundred twenty-three billion, two hundred fifty-three million, one hundred seventeen thousand, two hundred".