13044241122120 has 256 divisors, whose sum is σ = 46829736576000. Its totient is φ = 3210598315008.

The previous prime is 13044241122089. The next prime is 13044241122137. The reversal of 13044241122120 is 2122114244031.

13044241122120 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 2 + 411 + 221 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182582566 + ... + 182653994.

It is an arithmetic number, because the mean of its divisors is an integer number (182928658500).

Almost surely, 2^{13044241122120} is an apocalyptic number.

13044241122120 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 13044241122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23414868288000).

13044241122120 is an abundant number, since it is smaller than the sum of its proper divisors (33785495453880).

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

13044241122120 is a wasteful number, since it uses less digits than its factorization.

13044241122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84469 (or 84459 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13044241122120 its reverse (2122114244031), we get a palindrome (15166355366151).

The spelling of 13044241122120 in words is "thirteen trillion, forty-four billion, two hundred forty-one million, one hundred twenty-two thousand, one hundred twenty".