13200122143200 has 144 divisors (see below), whose sum is σ = 43054628077440. Its totient is φ = 3512804267520.

The previous prime is 13200122143147. The next prime is 13200122143211. The reversal of 13200122143200 is 234122100231.

It is a super-2 number, since 2×13200122143200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4478070 + ... + 6815669.

It is an arithmetic number, because the mean of its divisors is an integer number (298990472760).

Almost surely, 2^{13200122143200} is an apocalyptic number.

13200122143200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200122143200 is an abundant number, since it is smaller than the sum of its proper divisors (29854505934240).

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

13200122143200 is a wasteful number, since it uses less digits than its factorization.

13200122143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11294249 (or 11294236 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13200122143200 its reverse (234122100231), we get a palindrome (13434244243431).

The spelling of 13200122143200 in words is "thirteen trillion, two hundred billion, one hundred twenty-two million, one hundred forty-three thousand, two hundred".