13212212254400 has 168 divisors, whose sum is σ = 33031511133696. Its totient is φ = 5200811136000.

The previous prime is 13212212254399. The next prime is 13212212254433. The reversal of 13212212254400 is 445221221231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25595657 + ... + 26106743.

Almost surely, 2^{13212212254400} is an apocalyptic number.

13212212254400 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 13212212254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515755566848).

13212212254400 is an abundant number, since it is smaller than the sum of its proper divisors (19819298879296).

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

13212212254400 is a wasteful number, since it uses less digits than its factorization.

13212212254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511367 (or 511352 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 13212212254400 its reverse (445221221231), we get a palindrome (13657433475631).

The spelling of 13212212254400 in words is "thirteen trillion, two hundred twelve billion, two hundred twelve million, two hundred fifty-four thousand, four hundred".