122010211222200 has 288 divisors, whose sum is σ = 469142937394560. Its totient is φ = 27837063072000.

The previous prime is 122010211222199. The next prime is 122010211222217. The reversal of 122010211222200 is 2222112010221.

It is a happy number.

122010211222200 is a `hidden beast` number, since 1 + 2 + 20 + 10 + 211 + 222 + 200 = 666.

It is a super-3 number, since 3×122010211222200³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1959126 + ... + 15743525.

It is an arithmetic number, because the mean of its divisors is an integer number (1628968532620).

Almost surely, 2^{122010211222200} is an apocalyptic number.

122010211222200 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 122010211222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234571468697280).

122010211222200 is an abundant number, since it is smaller than the sum of its proper divisors (347132726172360).

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

122010211222200 is a wasteful number, since it uses less digits than its factorization.

122010211222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17703227 (or 17703215 counting only the distinct ones).

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

Adding to 122010211222200 its reverse (2222112010221), we get a palindrome (124232323232421).

The spelling of 122010211222200 in words is "one hundred twenty-two trillion, ten billion, two hundred eleven million, two hundred twenty-two thousand, two hundred".