123321101311200 has 288 divisors, whose sum is σ = 432882589741056. Its totient is φ = 30314202716160.

The previous prime is 123321101311169. The next prime is 123321101311201. The reversal of 123321101311200 is 2113101123321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123321101311201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19963969 + ... + 25400831.

It is an arithmetic number, because the mean of its divisors is an integer number (1503064547712).

Almost surely, 2^{123321101311200} is an apocalyptic number.

123321101311200 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 123321101311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216441294870528).

123321101311200 is an abundant number, since it is smaller than the sum of its proper divisors (309561488429856).

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

123321101311200 is a wasteful number, since it uses less digits than its factorization.

123321101311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437626 (or 5437613 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 123321101311200 its reverse (2113101123321), we get a palindrome (125434202434521).

The spelling of 123321101311200 in words is "one hundred twenty-three trillion, three hundred twenty-one billion, one hundred one million, three hundred eleven thousand, two hundred".