12338090100 has 360 divisors, whose sum is σ = 47701196928. Its totient is φ = 2697235200.

The previous prime is 12338090099. The next prime is 12338090131. The reversal of 12338090100 is 109083321.

12338090100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1299370 + ... + 1308830.

Almost surely, 2^12338090100 is an apocalyptic number.

12338090100 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 12338090100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23850598464).

12338090100 is an abundant number, since it is smaller than the sum of its proper divisors (35363106828).

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

12338090100 is a wasteful number, since it uses less digits than its factorization.

12338090100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9517 (or 9501 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12338090100 in words is "twelve billion, three hundred thirty-eight million, ninety thousand, one hundred".