12420023400 has 144 divisors (see below), whose sum is σ = 42728163660. Its totient is φ = 3231206400.

The previous prime is 12420023393. The next prime is 12420023419. The reversal of 12420023400 is 432002421.

12420023400 is a `hidden beast` number, since 1 + 242 + 0 + 0 + 23 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 847857924 + 11572165476 = 29118^2 + 107574^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10347 + ... + 157946.

Almost surely, 2^12420023400 is an apocalyptic number.

12420023400 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 12420023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21364081830).

12420023400 is an abundant number, since it is smaller than the sum of its proper divisors (30308140260).

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

12420023400 is a wasteful number, since it uses less digits than its factorization.

12420023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168356 (or 168344 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12420023400 its reverse (432002421), we get a palindrome (12852025821).

The spelling of 12420023400 in words is "twelve billion, four hundred twenty million, twenty-three thousand, four hundred".