123300312100 has 108 divisors (see below), whose sum is σ = 321978181140. Its totient is φ = 40816608000.

The previous prime is 123300312049. The next prime is 123300312101. The reversal of 123300312100 is 1213003321.

123300312100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 280361536 + 123019950564 = 16744^2 + 350742^2 .

It is not an unprimeable number, because it can be changed into a prime (123300312101) 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 35 ways as a sum of consecutive naturals, for example, 291751 + ... + 575950.

It is an arithmetic number, because the mean of its divisors is an integer number (2981279455).

Almost surely, 2^123300312100 is an apocalyptic number.

123300312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123300312100 is an abundant number, since it is smaller than the sum of its proper divisors (198677869040).

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

123300312100 is a wasteful number, since it uses less digits than its factorization.

123300312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867758 (or 867744 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 123300312100 its reverse (1213003321), we get a palindrome (124513315421).

The spelling of 123300312100 in words is "one hundred twenty-three billion, three hundred million, three hundred twelve thousand, one hundred".