12103152340400 has 360 divisors, whose sum is σ = 33447844096800. Its totient is φ = 4197594931200.

The previous prime is 12103152340381. The next prime is 12103152340421. The reversal of 12103152340400 is 404325130121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12103152340400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 388491224 + ... + 388522376.

Almost surely, 2^{12103152340400} is an apocalyptic number.

12103152340400 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 12103152340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16723922048400).

12103152340400 is an abundant number, since it is smaller than the sum of its proper divisors (21344691756400).

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

12103152340400 is a wasteful number, since it uses less digits than its factorization.

12103152340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31565 (or 31543 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 12103152340400 its reverse (404325130121), we get a palindrome (12507477470521).

The spelling of 12103152340400 in words is "twelve trillion, one hundred three billion, one hundred fifty-two million, three hundred forty thousand, four hundred".