122213011133200 has 360 divisors, whose sum is σ = 320259704844800. Its totient is φ = 44552809728000.

The previous prime is 122213011133183. The next prime is 122213011133201. The reversal of 122213011133200 is 2331110312221.

It is not an unprimeable number, because it can be changed into a prime (122213011133201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20104127761 + ... + 20104133839.

Almost surely, 2^{122213011133200} is an apocalyptic number.

122213011133200 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 122213011133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160129852422400).

122213011133200 is an abundant number, since it is smaller than the sum of its proper divisors (198046693711600).

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

122213011133200 is a wasteful number, since it uses less digits than its factorization.

122213011133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6691 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 122213011133200 its reverse (2331110312221), we get a palindrome (124544121445421).

The spelling of 122213011133200 in words is "one hundred twenty-two trillion, two hundred thirteen billion, eleven million, one hundred thirty-three thousand, two hundred".