122201212320 has 288 divisors, whose sum is σ = 455384389824. Its totient is φ = 29594419200.

The previous prime is 122201212313. The next prime is 122201212327. The reversal of 122201212320 is 23212102221.

122201212320 is a `hidden beast` number, since 1 + 2 + 220 + 121 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (122201212313) and next prime (122201212327).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122201212293 and 122201212302.

It is not an unprimeable number, because it can be changed into a prime (122201212327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18260175 + ... + 18266865.

It is an arithmetic number, because the mean of its divisors is an integer number (1581195798).

Almost surely, 2^122201212320 is an apocalyptic number.

122201212320 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 122201212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227692194912).

122201212320 is an abundant number, since it is smaller than the sum of its proper divisors (333183177504).

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

122201212320 is a wasteful number, since it uses less digits than its factorization.

122201212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7876 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122201212320 its reverse (23212102221), we get a palindrome (145413314541).

The spelling of 122201212320 in words is "one hundred twenty-two billion, two hundred one million, two hundred twelve thousand, three hundred twenty".