122111202220200 has 144 divisors (see below), whose sum is σ = 410620643089020. Its totient is φ = 32520861419520.

The previous prime is 122111202220141. The next prime is 122111202220207. The reversal of 122111202220200 is 2022202111221.

It is a happy number.

122111202220200 is a `hidden beast` number, since 1 + 221 + 1 + 1 + 20 + 2 + 220 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 33190111899396 + 88921090320804 = 5761086^2 + 9429798^2 .

It is a super-2 number, since 2×122111202220200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122111202220207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42489297 + ... + 45272096.

Almost surely, 2^{122111202220200} is an apocalyptic number.

122111202220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111202220200 is an abundant number, since it is smaller than the sum of its proper divisors (288509440868820).

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

122111202220200 is a wasteful number, since it uses less digits than its factorization.

122111202220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87762188 (or 87762176 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122111202220200 its reverse (2022202111221), we get a palindrome (124133404331421).

The spelling of 122111202220200 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred two million, two hundred twenty thousand, two hundred".