122210102122200 has 384 divisors, whose sum is σ = 446766260040000. Its totient is φ = 30599473766400.

The previous prime is 122210102122193. The next prime is 122210102122201. The reversal of 122210102122200 is 2221201012221.

It is a happy number.

122210102122200 is a `hidden beast` number, since 1 + 2 + 221 + 0 + 10 + 212 + 220 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210102122201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37066726 + ... + 40228874.

Almost surely, 2^{122210102122200} is an apocalyptic number.

122210102122200 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 122210102122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223383130020000).

122210102122200 is an abundant number, since it is smaller than the sum of its proper divisors (324556157917800).

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

122210102122200 is a wasteful number, since it uses less digits than its factorization.

122210102122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162612 (or 3162597 counting only the distinct ones).

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

Adding to 122210102122200 its reverse (2221201012221), we get a palindrome (124431303134421).

The spelling of 122210102122200 in words is "one hundred twenty-two trillion, two hundred ten billion, one hundred two million, one hundred twenty-two thousand, two hundred".