13334214211200 has 384 divisors, whose sum is σ = 49273334697600. Its totient is φ = 3521265868800.

The previous prime is 13334214211181. The next prime is 13334214211217. The reversal of 13334214211200 is 211241243331.

13334214211200 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 421 + 4 + 211 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×13334214211200⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8150020 + ... + 9648380.

It is an arithmetic number, because the mean of its divisors is an integer number (128315975775).

Almost surely, 2^{13334214211200} is an apocalyptic number.

13334214211200 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 13334214211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24636667348800).

13334214211200 is an abundant number, since it is smaller than the sum of its proper divisors (35939120486400).

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

13334214211200 is a wasteful number, since it uses less digits than its factorization.

13334214211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498497 (or 1498474 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13334214211200 its reverse (211241243331), we get a palindrome (13545455454531).

The spelling of 13334214211200 in words is "thirteen trillion, three hundred thirty-four billion, two hundred fourteen million, two hundred eleven thousand, two hundred".