12291938400 has 576 divisors, whose sum is σ = 48884871168. Its totient is φ = 2618818560.

The previous prime is 12291938381. The next prime is 12291938429. The reversal of 12291938400 is 483919221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55120689 + ... + 55120911.

It is an arithmetic number, because the mean of its divisors is an integer number (84869568).

Almost surely, 2^12291938400 is an apocalyptic number.

12291938400 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 12291938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24442435584).

12291938400 is an abundant number, since it is smaller than the sum of its proper divisors (36592932768).

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

12291938400 is a wasteful number, since it uses less digits than its factorization.

12291938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 12291938400 in words is "twelve billion, two hundred ninety-one million, nine hundred thirty-eight thousand, four hundred".