121122111012200 has 96 divisors (see below), whose sum is σ = 286676902620000. Its totient is φ = 47578622918400.

The previous prime is 121122111012181. The next prime is 121122111012229. The reversal of 121122111012200 is 2210111221121.

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, 6172226 + ... + 16743374.

It is an arithmetic number, because the mean of its divisors is an integer number (2986217735625).

Almost surely, 2^{121122111012200} is an apocalyptic number.

121122111012200 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 121122111012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143338451310000).

121122111012200 is an abundant number, since it is smaller than the sum of its proper divisors (165554791607800).

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

121122111012200 is a wasteful number, since it uses less digits than its factorization.

121122111012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10572195 (or 10572186 counting only the distinct ones).

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

Adding to 121122111012200 its reverse (2210111221121), we get a palindrome (123332222233321).

The spelling of 121122111012200 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred eleven million, twelve thousand, two hundred".