13212301403400 has 384 divisors, whose sum is σ = 47506334578560. Its totient is φ = 3002056704000.

The previous prime is 13212301403377. The next prime is 13212301403401. The reversal of 13212301403400 is 430410321231.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13212301403401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26795892 + ... + 27284508.

It is an arithmetic number, because the mean of its divisors is an integer number (123714412965).

Almost surely, 2^{13212301403400} is an apocalyptic number.

13212301403400 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 13212301403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23753167289280).

13212301403400 is an abundant number, since it is smaller than the sum of its proper divisors (34294033175160).

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

13212301403400 is a wasteful number, since it uses less digits than its factorization.

13212301403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488905 (or 488896 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13212301403400 its reverse (430410321231), we get a palindrome (13642711724631).

The spelling of 13212301403400 in words is "thirteen trillion, two hundred twelve billion, three hundred one million, four hundred three thousand, four hundred".