13122050400 has 216 divisors, whose sum is σ = 46367422920. Its totient is φ = 3491973120.

The previous prime is 13122050393. The next prime is 13122050401. The reversal of 13122050400 is 405022131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122050401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4095199 + ... + 4098401.

It is an arithmetic number, because the mean of its divisors is an integer number (214663995).

Almost surely, 2^13122050400 is an apocalyptic number.

13122050400 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 13122050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23183711460).

13122050400 is an abundant number, since it is smaller than the sum of its proper divisors (33245372520).

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

13122050400 is a wasteful number, since it uses less digits than its factorization.

13122050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13122050400 its reverse (405022131), we get a palindrome (13527072531).

The spelling of 13122050400 in words is "thirteen billion, one hundred twenty-two million, fifty thousand, four hundred".