122221110111200 has 72 divisors (see below), whose sum is σ = 307997197542720. Its totient is φ = 47311397452800.

The previous prime is 122221110111161. The next prime is 122221110111203. The reversal of 122221110111200 is 2111011122221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221110111203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2464110485 + ... + 2464160084.

It is an arithmetic number, because the mean of its divisors is an integer number (4277738854760).

Almost surely, 2^{122221110111200} is an apocalyptic number.

122221110111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221110111200 is an abundant number, since it is smaller than the sum of its proper divisors (185776087431520).

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

122221110111200 is a wasteful number, since it uses less digits than its factorization.

122221110111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4928270620 (or 4928270607 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122221110111200 its reverse (2111011122221), we get a palindrome (124332121233421).

The spelling of 122221110111200 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred ten million, one hundred eleven thousand, two hundred".