122111001112200 has 192 divisors, whose sum is σ = 395121703449600. Its totient is φ = 31137757728000.

The previous prime is 122111001112187. The next prime is 122111001112253. The reversal of 122111001112200 is 2211100111221.

It is a happy number.

It is a super-2 number, since 2×122111001112200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122111001112200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44469175 + ... + 47135225.

It is an arithmetic number, because the mean of its divisors is an integer number (2057925538800).

Almost surely, 2^{122111001112200} is an apocalyptic number.

122111001112200 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 122111001112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197560851724800).

122111001112200 is an abundant number, since it is smaller than the sum of its proper divisors (273010702337400).

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

122111001112200 is a wasteful number, since it uses less digits than its factorization.

122111001112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669412 (or 2669403 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122111001112200 its reverse (2211100111221), we get a palindrome (124322101223421).

The spelling of 122111001112200 in words is "one hundred twenty-two trillion, one hundred eleven billion, one million, one hundred twelve thousand, two hundred".