122222112010200 has 1152 divisors, whose sum is σ = 457830891947520. Its totient is φ = 29080741478400.

The previous prime is 122222112010133. The next prime is 122222112010249. The reversal of 122222112010200 is 2010211222221.

It is a happy number.

122222112010200 is a `hidden beast` number, since 1 + 2 + 222 + 211 + 20 + 10 + 200 = 666.

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 287 ways as a sum of consecutive naturals, for example, 55379297497 + ... + 55379299703.

It is an arithmetic number, because the mean of its divisors is an integer number (397422649260).

Almost surely, 2^{122222112010200} is an apocalyptic number.

122222112010200 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 122222112010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228915445973760).

122222112010200 is an abundant number, since it is smaller than the sum of its proper divisors (335608779937320).

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

122222112010200 is a wasteful number, since it uses less digits than its factorization.

122222112010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3505 counting only the distinct ones).

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

Adding to 122222112010200 its reverse (2010211222221), we get a palindrome (124232323232421).

The spelling of 122222112010200 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, one hundred twelve million, ten thousand, two hundred".