12103544400 has 480 divisors, whose sum is σ = 43590960000. Its totient is φ = 2855731200.

The previous prime is 12103544399. The next prime is 12103544413. The reversal of 12103544400 is 444530121.

12103544400 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 (24).

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 95 ways as a sum of consecutive naturals, for example, 24255351 + ... + 24255849.

It is an arithmetic number, because the mean of its divisors is an integer number (90814500).

Almost surely, 2^12103544400 is an apocalyptic number.

12103544400 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 12103544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21795480000).

12103544400 is an abundant number, since it is smaller than the sum of its proper divisors (31487415600).

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

12103544400 is a wasteful number, since it uses less digits than its factorization.

12103544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 12103544400 in words is "twelve billion, one hundred three million, five hundred forty-four thousand, four hundred".