122102301200 has 240 divisors, whose sum is σ = 329019584256. Its totient is φ = 43162022400.

The previous prime is 122102301193. The next prime is 122102301227. The reversal of 122102301200 is 2103201221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42946979 + ... + 42949821.

Almost surely, 2^122102301200 is an apocalyptic number.

122102301200 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 122102301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164509792128).

122102301200 is an abundant number, since it is smaller than the sum of its proper divisors (206917283056).

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

122102301200 is a wasteful number, since it uses less digits than its factorization.

122102301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122102301200 its reverse (2103201221), we get a palindrome (124205502421).

The spelling of 122102301200 in words is "one hundred twenty-two billion, one hundred two million, three hundred one thousand, two hundred".