123112200312 has 288 divisors, whose sum is σ = 366351083280. Its totient is φ = 37209968640.

The previous prime is 123112200311. The next prime is 123112200347. The reversal of 123112200312 is 213002211321.

123112200312 is a `hidden beast` number, since 1 + 231 + 122 + 0 + 0 + 312 = 666.

It is a super-2 number, since 2×123112200312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123112200311) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 209730883 + ... + 209731469.

Almost surely, 2^123112200312 is an apocalyptic number.

123112200312 is a gapful number since it is divisible by the number (12) 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 123112200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183175541640).

123112200312 is an abundant number, since it is smaller than the sum of its proper divisors (243238882968).

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

123112200312 is a wasteful number, since it uses less digits than its factorization.

123112200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123112200312 its reverse (213002211321), we get a palindrome (336114411633).

The spelling of 123112200312 in words is "one hundred twenty-three billion, one hundred twelve million, two hundred thousand, three hundred twelve".