122232200000 has 168 divisors, whose sum is σ = 303972903864. Its totient is φ = 48764160000.

The previous prime is 122232199997. The next prime is 122232200023. The reversal of 122232200000 is 2232221.

It can be written as a sum of positive squares in 12 ways, for example, as 120342385216 + 1889814784 = 346904^2 + 43472^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 122599502 + ... + 122600498.

It is an arithmetic number, because the mean of its divisors is an integer number (1809362523).

Almost surely, 2^122232200000 is an apocalyptic number.

122232200000 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 122232200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151986451932).

122232200000 is an abundant number, since it is smaller than the sum of its proper divisors (181740703864).

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

122232200000 is an frugal number, since it uses more digits than its factorization.

122232200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 122232200000 its reverse (2232221), we get a palindrome (122234432221).

The spelling of 122232200000 in words is "one hundred twenty-two billion, two hundred thirty-two million, two hundred thousand".