122201100111200 has 144 divisors (see below), whose sum is σ = 328133368589040. Its totient is φ = 44436763289600.

The previous prime is 122201100111191. The next prime is 122201100111217. The reversal of 122201100111200 is 2111001102221.

It is a super-3 number, since 3×122201100111200³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56317385 + ... + 58446984.

It is an arithmetic number, because the mean of its divisors is an integer number (2278703948535).

Almost surely, 2^{122201100111200} is an apocalyptic number.

122201100111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201100111200 is an abundant number, since it is smaller than the sum of its proper divisors (205932268477840).

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

122201100111200 is a wasteful number, since it uses less digits than its factorization.

122201100111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114764422 (or 114764387 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122201100111200 its reverse (2111001102221), we get a palindrome (124312101213421).

The spelling of 122201100111200 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred million, one hundred eleven thousand, two hundred".