13120517222400 has 1248 divisors, whose sum is σ = 50897956608000. Its totient is φ = 2980695244800.

The previous prime is 13120517222363. The next prime is 13120517222459. The reversal of 13120517222400 is 422271502131.

It is a super-2 number, since 2×13120517222400² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25183334140 + ... + 25183334660.

Almost surely, 2^{13120517222400} is an apocalyptic number.

13120517222400 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 13120517222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25448978304000).

13120517222400 is an abundant number, since it is smaller than the sum of its proper divisors (37777439385600).

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

13120517222400 is an equidigital number, since it uses as much as digits as its factorization.

13120517222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 13120517222400 its reverse (422271502131), we get a palindrome (13542788724531).

The spelling of 13120517222400 in words is "thirteen trillion, one hundred twenty billion, five hundred seventeen million, two hundred twenty-two thousand, four hundred".