12400121400 has 48 divisors (see below), whose sum is σ = 38440378200. Its totient is φ = 3306698880.

The previous prime is 12400121381. The next prime is 12400121441. The reversal of 12400121400 is 412100421.

12400121400 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12400121400.

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 11 ways as a sum of consecutive naturals, for example, 10332835 + ... + 10334034.

Almost surely, 2^12400121400 is an apocalyptic number.

12400121400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12400121400 is an abundant number, since it is smaller than the sum of its proper divisors (26040256800).

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

12400121400 is a wasteful number, since it uses less digits than its factorization.

12400121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20666888 (or 20666879 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12400121400 its reverse (412100421), we get a palindrome (12812221821).

The spelling of 12400121400 in words is "twelve billion, four hundred million, one hundred twenty-one thousand, four hundred".