13122131242200 has 192 divisors, whose sum is σ = 41995457356800. Its totient is φ = 3385982476800.

The previous prime is 13122131242141. The next prime is 13122131242201. The reversal of 13122131242200 is 224213122131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122131242201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194503674 + ... + 194571126.

It is an arithmetic number, because the mean of its divisors is an integer number (218726340400).

Almost surely, 2^{13122131242200} is an apocalyptic number.

13122131242200 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 13122131242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20997728678400).

13122131242200 is an abundant number, since it is smaller than the sum of its proper divisors (28873326114600).

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

13122131242200 is a wasteful number, since it uses less digits than its factorization.

13122131242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77962 (or 77953 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13122131242200 its reverse (224213122131), we get a palindrome (13346344364331).

The spelling of 13122131242200 in words is "thirteen trillion, one hundred twenty-two billion, one hundred thirty-one million, two hundred forty-two thousand, two hundred".