12312730100 has 108 divisors (see below), whose sum is σ = 30381974700. Its totient is φ = 4322841600.

The previous prime is 12312730091. The next prime is 12312730127. The reversal of 12312730100 is 103721321.

It can be written as a sum of positive squares in 6 ways, for example, as 28111204 + 12284618896 = 5302^2 + 110836^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 333356 + ... + 368444.

Almost surely, 2^12312730100 is an apocalyptic number.

12312730100 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 12312730100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190987350).

12312730100 is an abundant number, since it is smaller than the sum of its proper divisors (18069244600).

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

12312730100 is a wasteful number, since it uses less digits than its factorization.

12312730100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35154 (or 35136 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

12312730100 divided by its sum of digits (20) gives a triangular number (615636505 = T₃₅₀₈₉).

The spelling of 12312730100 in words is "twelve billion, three hundred twelve million, seven hundred thirty thousand, one hundred".