123112111200 has 288 divisors, whose sum is σ = 454270924800. Its totient is φ = 28709406720.

The previous prime is 123112111193. The next prime is 123112111223. The reversal of 123112111200 is 2111211321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123112111200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488961 + ... + 696639.

It is an arithmetic number, because the mean of its divisors is an integer number (1577329600).

Almost surely, 2^123112111200 is an apocalyptic number.

123112111200 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 123112111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227135462400).

123112111200 is an abundant number, since it is smaller than the sum of its proper divisors (331158813600).

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

123112111200 is a wasteful number, since it uses less digits than its factorization.

123112111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207734 (or 207721 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 123112111200 its reverse (2111211321), we get a palindrome (125223322521).

The spelling of 123112111200 in words is "one hundred twenty-three billion, one hundred twelve million, one hundred eleven thousand, two hundred".