122102231223200 has 144 divisors (see below), whose sum is σ = 315632522522520. Its totient is φ = 45965537771520.

The previous prime is 122102231223199. The next prime is 122102231223209. The reversal of 122102231223200 is 2322132201221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9769450374544 + 112332780848656 = 3125612^2 + 10598716^2 .

It is not an unprimeable number, because it can be changed into a prime (122102231223209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276798014 + ... + 277238786.

Almost surely, 2^{122102231223200} is an apocalyptic number.

122102231223200 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 122102231223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157816261261260).

122102231223200 is an abundant number, since it is smaller than the sum of its proper divisors (193530291299320).

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

122102231223200 is a wasteful number, since it uses less digits than its factorization.

122102231223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461179 (or 461166 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 122102231223200 its reverse (2322132201221), we get a palindrome (124424363424421).

The spelling of 122102231223200 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred thirty-one million, two hundred twenty-three thousand, two hundred".