122101111222200 has 480 divisors, whose sum is σ = 462663322094160. Its totient is φ = 29597980262400.

The previous prime is 122101111222199. The next prime is 122101111222217. The reversal of 122101111222200 is 2222111101221.

122101111222200 is a `hidden beast` number, since 1 + 2 + 210 + 111 + 122 + 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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3991130104 + ... + 3991160696.

Almost surely, 2^{122101111222200} is an apocalyptic number.

122101111222200 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 122101111222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231331661047080).

122101111222200 is an abundant number, since it is smaller than the sum of its proper divisors (340562210871960).

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

122101111222200 is a wasteful number, since it uses less digits than its factorization.

122101111222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53029 (or 53011 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122101111222200 its reverse (2222111101221), we get a palindrome (124323222323421).

The spelling of 122101111222200 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred eleven million, two hundred twenty-two thousand, two hundred".