13110122412200 has 384 divisors, whose sum is σ = 33890964589440. Its totient is φ = 4676812800000.

The previous prime is 13110122412133. The next prime is 13110122412223. The reversal of 13110122412200 is 221422101131.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 14880955760 + ... + 14880956640.

It is an arithmetic number, because the mean of its divisors is an integer number (88257720285).

Almost surely, 2^{13110122412200} is an apocalyptic number.

13110122412200 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 13110122412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16945482294720).

13110122412200 is an abundant number, since it is smaller than the sum of its proper divisors (20780842177240).

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

13110122412200 is a wasteful number, since it uses less digits than its factorization.

13110122412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 13110122412200 its reverse (221422101131), we get a palindrome (13331544513331).

The spelling of 13110122412200 in words is "thirteen trillion, one hundred ten billion, one hundred twenty-two million, four hundred twelve thousand, two hundred".