13442120122440 has 128 divisors (see below), whose sum is σ = 40481155693440. Its totient is φ = 3570816178176.

The previous prime is 13442120122439. The next prime is 13442120122471. The reversal of 13442120122440 is 4422102124431.

It is a super-2 number, since 2×13442120122440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13442120122398 and 13442120122407.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 84057999 + ... + 84217761.

It is an arithmetic number, because the mean of its divisors is an integer number (316259028855).

Almost surely, 2^{13442120122440} is an apocalyptic number.

13442120122440 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 13442120122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20240577846720).

13442120122440 is an abundant number, since it is smaller than the sum of its proper divisors (27039035571000).

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

13442120122440 is a wasteful number, since it uses less digits than its factorization.

13442120122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162463 (or 162459 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 13442120122440 its reverse (4422102124431), we get a palindrome (17864222246871).

The spelling of 13442120122440 in words is "thirteen trillion, four hundred forty-two billion, one hundred twenty million, one hundred twenty-two thousand, four hundred forty".