123223132111200 has 288 divisors, whose sum is σ = 438261070746240. Its totient is φ = 29824011571200.

The previous prime is 123223132111147. The next prime is 123223132111217. The reversal of 123223132111200 is 2111231322321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12571372 + ... + 20111828.

It is an arithmetic number, because the mean of its divisors is an integer number (1521739828980).

Almost surely, 2^{123223132111200} is an apocalyptic number.

123223132111200 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 123223132111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219130535373120).

123223132111200 is an abundant number, since it is smaller than the sum of its proper divisors (315037938635040).

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

123223132111200 is a wasteful number, since it uses less digits than its factorization.

123223132111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541110 (or 7541097 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 123223132111200 its reverse (2111231322321), we get a palindrome (125334363433521).

The spelling of 123223132111200 in words is "one hundred twenty-three trillion, two hundred twenty-three billion, one hundred thirty-two million, one hundred eleven thousand, two hundred".