122102311200 has 216 divisors, whose sum is σ = 403004237328. Its totient is φ = 32111216640.

The previous prime is 122102311187. The next prime is 122102311211. The reversal of 122102311200 is 2113201221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122102311200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12784827 + ... + 12794373.

It is an arithmetic number, because the mean of its divisors is an integer number (1865760358).

Almost surely, 2^122102311200 is an apocalyptic number.

122102311200 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 122102311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201502118664).

122102311200 is an abundant number, since it is smaller than the sum of its proper divisors (280901926128).

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

122102311200 is an equidigital number, since it uses as much as digits as its factorization.

122102311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9716 (or 9630 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122102311200 its reverse (2113201221), we get a palindrome (124215512421).

The spelling of 122102311200 in words is "one hundred twenty-two billion, one hundred two million, three hundred eleven thousand, two hundred".