122202261252 has 168 divisors, whose sum is σ = 323507845080. Its totient is φ = 40371125760.

The previous prime is 122202261241. The next prime is 122202261257. The reversal of 122202261252 is 252162202221.

It is a happy number.

122202261252 is a `hidden beast` number, since 1 + 2 + 2 + 20 + 22 + 612 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78213071556 + 43989189696 = 279666^2 + 209736^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122202261257) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 240082774 + ... + 240083282.

It is an arithmetic number, because the mean of its divisors is an integer number (1925641935).

Almost surely, 2^122202261252 is an apocalyptic number.

122202261252 is a gapful number since it is divisible by the number (12) 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 122202261252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161753922540).

122202261252 is an abundant number, since it is smaller than the sum of its proper divisors (201305583828).

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

122202261252 is a wasteful number, since it uses less digits than its factorization.

122202261252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 122202261252 its reverse (252162202221), we get a palindrome (374364463473).

The spelling of 122202261252 in words is "one hundred twenty-two billion, two hundred two million, two hundred sixty-one thousand, two hundred fifty-two".