123112103303200 has 432 divisors, whose sum is σ = 349990872900480. Its totient is φ = 42109988659200.

The previous prime is 123112103303197. The next prime is 123112103303219. The reversal of 123112103303200 is 2303301211321.

It is a super-2 number, since 2×123112103303200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2934083821 + ... + 2934125779.

It is an arithmetic number, because the mean of its divisors is an integer number (810164057640).

Almost surely, 2^{123112103303200} is an apocalyptic number.

123112103303200 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 123112103303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174995436450240).

123112103303200 is an abundant number, since it is smaller than the sum of its proper divisors (226878769597280).

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

123112103303200 is a wasteful number, since it uses less digits than its factorization.

123112103303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43801 (or 43777 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 123112103303200 its reverse (2303301211321), we get a palindrome (125415404514521).

The spelling of 123112103303200 in words is "one hundred twenty-three trillion, one hundred twelve billion, one hundred three million, three hundred three thousand, two hundred".