121122221112200 has 192 divisors, whose sum is σ = 351110837289600. Its totient is φ = 37750907750400.

The previous prime is 121122221112197. The next prime is 121122221112203. The reversal of 121122221112200 is 2211122221121.

It is an interprime number because it is at equal distance from previous prime (121122221112197) and next prime (121122221112203).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (121122221112203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434587292 + ... + 434865908.

It is an arithmetic number, because the mean of its divisors is an integer number (1828702277550).

Almost surely, 2^{121122221112200} is an apocalyptic number.

121122221112200 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 121122221112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175555418644800).

121122221112200 is an abundant number, since it is smaller than the sum of its proper divisors (229988616177400).

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

121122221112200 is a wasteful number, since it uses less digits than its factorization.

121122221112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306880 (or 306871 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121122221112200 its reverse (2211122221121), we get a palindrome (123333343333321).

The spelling of 121122221112200 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twelve thousand, two hundred".