12225431542320 has 240 divisors, whose sum is σ = 42845318081280. Its totient is φ = 3118141407744.

The previous prime is 12225431542231. The next prime is 12225431542321. The reversal of 12225431542320 is 2324513452221.

12225431542320 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 54 + 31 + 542 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12225431542320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12225431542321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448083399 + ... + 448110681.

It is an arithmetic number, because the mean of its divisors is an integer number (178522158672).

Almost surely, 2^{12225431542320} is an apocalyptic number.

12225431542320 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 12225431542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21422659040640).

12225431542320 is an abundant number, since it is smaller than the sum of its proper divisors (30619886538960).

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

12225431542320 is a wasteful number, since it uses less digits than its factorization.

12225431542320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54384 (or 54375 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 12225431542320 its reverse (2324513452221), we get a palindrome (14549944994541).

The spelling of 12225431542320 in words is "twelve trillion, two hundred twenty-five billion, four hundred thirty-one million, five hundred forty-two thousand, three hundred twenty".