123312100 has 18 divisors (see below), whose sum is σ = 267587474. Its totient is φ = 49324800.

The previous prime is 123312061. The next prime is 123312103. The reversal of 123312100 is 1213321.

It can be written as a sum of positive squares in 3 ways, for example, as 6801664 + 116510436 = 2608^2 + 10794^2 .

It is not an unprimeable number, because it can be changed into a prime (123312103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 616461 + ... + 616660.

Almost surely, 2^123312100 is an apocalyptic number.

123312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123312100 is an abundant number, since it is smaller than the sum of its proper divisors (144275374).

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

123312100 is a wasteful number, since it uses less digits than its factorization.

123312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233135 (or 1233128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 123312100 is about 11104.5981467138. The cubic root of 123312100 is about 497.7392601837.

Adding to 123312100 its reverse (1213321), we get a palindrome (124525421).

The spelling of 123312100 in words is "one hundred twenty-three million, three hundred twelve thousand, one hundred".