123312111200 has 144 divisors (see below), whose sum is σ = 322781215680. Its totient is φ = 45835345920.

The previous prime is 123312111193. The next prime is 123312111239. The reversal of 123312111200 is 2111213321.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1017014 + ... + 1131786.

It is an arithmetic number, because the mean of its divisors is an integer number (2241536220).

Almost surely, 2^123312111200 is an apocalyptic number.

123312111200 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 123312111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161390607840).

123312111200 is an abundant number, since it is smaller than the sum of its proper divisors (199469104480).

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

123312111200 is a wasteful number, since it uses less digits than its factorization.

123312111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114889 (or 114876 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 123312111200 its reverse (2111213321), we get a palindrome (125423324521).

The spelling of 123312111200 in words is "one hundred twenty-three billion, three hundred twelve million, one hundred eleven thousand, two hundred".