123553204134400 has 240 divisors, whose sum is σ = 322260224695200. Its totient is φ = 46814885314560.

The previous prime is 123553204134359. The next prime is 123553204134403. The reversal of 123553204134400 is 4431402355321.

It is a self number, because there is not a number n which added to its sum of digits gives 123553204134400.

It is not an unprimeable number, because it can be changed into a prime (123553204134403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2670069664 + ... + 2670115936.

It is an arithmetic number, because the mean of its divisors is an integer number (1342750936230).

Almost surely, 2^{123553204134400} is an apocalyptic number.

123553204134400 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 123553204134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161130112347600).

123553204134400 is an abundant number, since it is smaller than the sum of its proper divisors (198707020560800).

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

123553204134400 is a wasteful number, since it uses less digits than its factorization.

123553204134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57299 (or 57278 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 123553204134400 its reverse (4431402355321), we get a palindrome (127984606489721).

The spelling of 123553204134400 in words is "one hundred twenty-three trillion, five hundred fifty-three billion, two hundred four million, one hundred thirty-four thousand, four hundred".