13122212315520 has 1024 divisors, whose sum is σ = 54732310364160. Its totient is φ = 2592949370880.

The previous prime is 13122212315507. The next prime is 13122212315549. The reversal of 13122212315520 is 2551321222131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 588244207 + ... + 588266513.

It is an arithmetic number, because the mean of its divisors is an integer number (53449521840).

Almost surely, 2^{13122212315520} is an apocalyptic number.

13122212315520 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 13122212315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27366155182080).

13122212315520 is an abundant number, since it is smaller than the sum of its proper divisors (41610098048640).

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

13122212315520 is a wasteful number, since it uses less digits than its factorization.

13122212315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22543 (or 22531 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 13122212315520 its reverse (2551321222131), we get a palindrome (15673533537651).

The spelling of 13122212315520 in words is "thirteen trillion, one hundred twenty-two billion, two hundred twelve million, three hundred fifteen thousand, five hundred twenty".