12402123224400 has 1800 divisors, whose sum is σ = 58696658069280. Its totient is φ = 2478911662080.

The previous prime is 12402123224321. The next prime is 12402123224459. The reversal of 12402123224400 is 442232120421.

It is a happy number.

12402123224400 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 2 + 1 + 232 + 24 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 359 ways as a sum of consecutive naturals, for example, 392121387 + ... + 392153013.

Almost surely, 2^{12402123224400} is an apocalyptic number.

12402123224400 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 12402123224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29348329034640).

12402123224400 is an abundant number, since it is smaller than the sum of its proper divisors (46294534844880).

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

12402123224400 is a wasteful number, since it uses less digits than its factorization.

12402123224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31703 (or 31676 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12402123224400 its reverse (442232120421), we get a palindrome (12844355344821).

The spelling of 12402123224400 in words is "twelve trillion, four hundred two billion, one hundred twenty-three million, two hundred twenty-four thousand, four hundred".