13122451525040 has 240 divisors, whose sum is σ = 36878675328000. Its totient is φ = 4302301086720.

The previous prime is 13122451525009. The next prime is 13122451525067. The reversal of 13122451525040 is 4052515422131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5368961 + ... + 7420959.

It is an arithmetic number, because the mean of its divisors is an integer number (153661147200).

Almost surely, 2^{13122451525040} is an apocalyptic number.

13122451525040 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 13122451525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18439337664000).

13122451525040 is an abundant number, since it is smaller than the sum of its proper divisors (23756223802960).

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

13122451525040 is a wasteful number, since it uses less digits than its factorization.

13122451525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052092 (or 2052073 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 13122451525040 its reverse (4052515422131), we get a palindrome (17174966947171).

The spelling of 13122451525040 in words is "thirteen trillion, one hundred twenty-two billion, four hundred fifty-one million, five hundred twenty-five thousand, forty".