12123413400 has 288 divisors, whose sum is σ = 43861746240. Its totient is φ = 2762000640.

The previous prime is 12123413389. The next prime is 12123413417. The reversal of 12123413400 is 431432121.

12123413400 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 (21).

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 71 ways as a sum of consecutive naturals, for example, 13729359 + ... + 13730241.

It is an arithmetic number, because the mean of its divisors is an integer number (152297730).

Almost surely, 2^12123413400 is an apocalyptic number.

12123413400 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 12123413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21930873120).

12123413400 is an abundant number, since it is smaller than the sum of its proper divisors (31738332840).

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

12123413400 is a wasteful number, since it uses less digits than its factorization.

12123413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12123413400 its reverse (431432121), we get a palindrome (12554845521).

The spelling of 12123413400 in words is "twelve billion, one hundred twenty-three million, four hundred thirteen thousand, four hundred".