13122000113200 has 480 divisors, whose sum is σ = 36838555895808. Its totient is φ = 4438824960000.

The previous prime is 13122000113141. The next prime is 13122000113207. The reversal of 13122000113200 is 231100022131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13122000113207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5945626497 + ... + 5945628703.

Almost surely, 2^{13122000113200} is an apocalyptic number.

13122000113200 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 13122000113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18419277947904).

13122000113200 is an abundant number, since it is smaller than the sum of its proper divisors (23716555782608).

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

13122000113200 is a wasteful number, since it uses less digits than its factorization.

13122000113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13122000113200 its reverse (231100022131), we get a palindrome (13353100135331).

The spelling of 13122000113200 in words is "thirteen trillion, one hundred twenty-two billion, one hundred thirteen thousand, two hundred".