122302212313200 has 480 divisors, whose sum is σ = 417281065516800. Its totient is φ = 30532469760000.

The previous prime is 122302212313199. The next prime is 122302212313241. The reversal of 122302212313200 is 2313212203221.

It is a super-2 number, since 2×122302212313200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1199707831 + ... + 1199809769.

It is an arithmetic number, because the mean of its divisors is an integer number (869335553160).

Almost surely, 2^{122302212313200} is an apocalyptic number.

122302212313200 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 122302212313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208640532758400).

122302212313200 is an abundant number, since it is smaller than the sum of its proper divisors (294978853203600).

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

122302212313200 is a wasteful number, since it uses less digits than its factorization.

122302212313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102601 (or 102590 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122302212313200 its reverse (2313212203221), we get a palindrome (124615424516421).

The spelling of 122302212313200 in words is "one hundred twenty-two trillion, three hundred two billion, two hundred twelve million, three hundred thirteen thousand, two hundred".