13222337356800 has 5280 divisors, whose sum is σ = 63341896109184. Its totient is φ = 2675441664000.

The previous prime is 13222337356747. The next prime is 13222337356829. The reversal of 13222337356800 is 865373322231.

13222337356800 is a `hidden beast` number, since 1 + 3 + 2 + 223 + 373 + 56 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 216759628770 + ... + 216759628830.

Almost surely, 2^{13222337356800} is an apocalyptic number.

13222337356800 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 13222337356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31670948054592).

13222337356800 is an abundant number, since it is smaller than the sum of its proper divisors (50119558752384).

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

13222337356800 is a wasteful number, since it uses less digits than its factorization.

13222337356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 13222337356800 in words is "thirteen trillion, two hundred twenty-two billion, three hundred thirty-seven million, three hundred fifty-six thousand, eight hundred".