122101120222200 has 1152 divisors, whose sum is σ = 508075081113600. Its totient is φ = 25639448002560.

The previous prime is 122101120222177. The next prime is 122101120222223. The reversal of 122101120222200 is 2222021101221.

It is a happy number.

122101120222200 is a `hidden beast` number, since 1 + 2 + 210 + 11 + 20 + 222 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (122101120222177) and next prime (122101120222223).

It is a super-2 number, since 2×122101120222200² (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 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, 18172510441 + ... + 18172517159.

It is an arithmetic number, because the mean of its divisors is an integer number (441037396800).

Almost surely, 2^{122101120222200} is an apocalyptic number.

122101120222200 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 122101120222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254037540556800).

122101120222200 is an abundant number, since it is smaller than the sum of its proper divisors (385973960891400).

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

122101120222200 is a wasteful number, since it uses less digits than its factorization.

122101120222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8781 (or 8769 counting only the distinct ones).

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

Adding to 122101120222200 its reverse (2222021101221), we get a palindrome (124323141323421).

The spelling of 122101120222200 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty million, two hundred twenty-two thousand, two hundred".