13632225342120 has 1536 divisors, whose sum is σ = 60636690616320. Its totient is φ = 2569392783360.

The previous prime is 13632225342053. The next prime is 13632225342209. The reversal of 13632225342120 is 2124352223631.

13632225342120 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 2 + 225 + 3 + 421 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1865635507 + ... + 1865642813.

It is an arithmetic number, because the mean of its divisors is an integer number (39477012120).

Almost surely, 2^{13632225342120} is an apocalyptic number.

13632225342120 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 13632225342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30318345308160).

13632225342120 is an abundant number, since it is smaller than the sum of its proper divisors (47004465274200).

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

13632225342120 is a wasteful number, since it uses less digits than its factorization.

13632225342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7503 (or 7496 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13632225342120 its reverse (2124352223631), we get a palindrome (15756577565751).

The spelling of 13632225342120 in words is "thirteen trillion, six hundred thirty-two billion, two hundred twenty-five million, three hundred forty-two thousand, one hundred twenty".