123312564100 has 108 divisors (see below), whose sum is σ = 294505494192. Its totient is φ = 44783076800.

The previous prime is 123312564091. The next prime is 123312564101. The reversal of 123312564100 is 1465213321.

123312564100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (123312564101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10000539 + ... + 10012861.

It is an arithmetic number, because the mean of its divisors is an integer number (2726902724).

Almost surely, 2^123312564100 is an apocalyptic number.

123312564100 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 123312564100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147252747096).

123312564100 is an abundant number, since it is smaller than the sum of its proper divisors (171192930092).

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

123312564100 is a wasteful number, since it uses less digits than its factorization.

123312564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13186 (or 13168 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 123312564100 its reverse (1465213321), we get a palindrome (124777777421).

The spelling of 123312564100 in words is "one hundred twenty-three billion, three hundred twelve million, five hundred sixty-four thousand, one hundred".