122202011201200 has 240 divisors, whose sum is σ = 336310494750720. Its totient is φ = 41800647168000.

The previous prime is 122202011201161. The next prime is 122202011201201. The reversal of 122202011201200 is 2102110202221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (122202011201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5830516321 + ... + 5830537279.

It is an arithmetic number, because the mean of its divisors is an integer number (1401293728128).

Almost surely, 2^{122202011201200} is an apocalyptic number.

122202011201200 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 122202011201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168155247375360).

122202011201200 is an abundant number, since it is smaller than the sum of its proper divisors (214108483549520).

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

122202011201200 is a wasteful number, since it uses less digits than its factorization.

122202011201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25716 (or 25705 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122202011201200 its reverse (2102110202221), we get a palindrome (124304121403421).

The spelling of 122202011201200 in words is "one hundred twenty-two trillion, two hundred two billion, eleven million, two hundred one thousand, two hundred".