13420120243200 has 528 divisors, whose sum is σ = 49179804493440. Its totient is φ = 3200016384000.

The previous prime is 13420120243181. The next prime is 13420120243207. The reversal of 13420120243200 is 234202102431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

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 (13420120243207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51402591 + ... + 51663009.

Almost surely, 2^{13420120243200} is an apocalyptic number.

13420120243200 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 13420120243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24589902246720).

13420120243200 is an abundant number, since it is smaller than the sum of its proper divisors (35759684250240).

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

13420120243200 is a wasteful number, since it uses less digits than its factorization.

13420120243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260524 (or 260501 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13420120243200 its reverse (234202102431), we get a palindrome (13654322345631).

The spelling of 13420120243200 in words is "thirteen trillion, four hundred twenty billion, one hundred twenty million, two hundred forty-three thousand, two hundred".