13434431221200 has 360 divisors, whose sum is σ = 47950914042304. Its totient is φ = 3212215142400.

The previous prime is 13434431221199. The next prime is 13434431221219. The reversal of 13434431221200 is 212213443431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9965877 + ... + 11233323.

Almost surely, 2^{13434431221200} is an apocalyptic number.

13434431221200 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 13434431221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23975457021152).

13434431221200 is an abundant number, since it is smaller than the sum of its proper divisors (34516482821104).

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

13434431221200 is a wasteful number, since it uses less digits than its factorization.

13434431221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267563 (or 1267541 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13434431221200 its reverse (212213443431), we get a palindrome (13646644664631).

It can be divided in two parts, 13434431 and 221200, that added together give a palindrome (13655631).

The spelling of 13434431221200 in words is "thirteen trillion, four hundred thirty-four billion, four hundred thirty-one million, two hundred twenty-one thousand, two hundred".