12240122400 has 432 divisors, whose sum is σ = 49860746208. Its totient is φ = 2792448000.

The previous prime is 12240122399. The next prime is 12240122407. The reversal of 12240122400 is 422104221.

12240122400 is a `hidden beast` number, since 1 + 2 + 240 + 1 + 22 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12240122407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1341855 + ... + 1350945.

It is an arithmetic number, because the mean of its divisors is an integer number (115418394).

Almost surely, 2^12240122400 is an apocalyptic number.

12240122400 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 12240122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24930373104).

12240122400 is an abundant number, since it is smaller than the sum of its proper divisors (37620623808).

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

12240122400 is a wasteful number, since it uses less digits than its factorization.

12240122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9145 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12240122400 its reverse (422104221), we get a palindrome (12662226621).

The spelling of 12240122400 in words is "twelve billion, two hundred forty million, one hundred twenty-two thousand, four hundred".