122231332202200 has 192 divisors, whose sum is σ = 312732143861760. Its totient is φ = 44147012190720.

The previous prime is 122231332202129. The next prime is 122231332202233. The reversal of 122231332202200 is 2202233132221.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222496257 + ... + 223044943.

It is an arithmetic number, because the mean of its divisors is an integer number (1628813249280).

Almost surely, 2^{122231332202200} is an apocalyptic number.

122231332202200 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 122231332202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156366071930880).

122231332202200 is an abundant number, since it is smaller than the sum of its proper divisors (190500811659560).

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

122231332202200 is a wasteful number, since it uses less digits than its factorization.

122231332202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550586 (or 550577 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 122231332202200 its reverse (2202233132221), we get a palindrome (124433565334421).

The spelling of 122231332202200 in words is "one hundred twenty-two trillion, two hundred thirty-one billion, three hundred thirty-two million, two hundred two thousand, two hundred".