12420233232400 has 180 divisors, whose sum is σ = 34887594219588. Its totient is φ = 4236748293120.

The previous prime is 12420233232359. The next prime is 12420233232401. The reversal of 12420233232400 is 423233202421.

It can be written as a sum of positive squares in 6 ways, for example, as 253000952064 + 12167232280336 = 502992^2 + 3488156^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (12420233232401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2252862 + ... + 5469538.

Almost surely, 2^{12420233232400} is an apocalyptic number.

12420233232400 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 12420233232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17443797109794).

12420233232400 is an abundant number, since it is smaller than the sum of its proper divisors (22467360987188).

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

12420233232400 is a wasteful number, since it uses less digits than its factorization.

12420233232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216906 (or 3216888 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 12420233232400 its reverse (423233202421), we get a palindrome (12843466434821).

The spelling of 12420233232400 in words is "twelve trillion, four hundred twenty billion, two hundred thirty-three million, two hundred thirty-two thousand, four hundred".