121122201211000 has 256 divisors, whose sum is σ = 326588381982720. Its totient is φ = 41632395840000.

The previous prime is 121122201210977. The next prime is 121122201211079. The reversal of 121122201211000 is 112102221121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10532802 + ... + 18793198.

It is an arithmetic number, because the mean of its divisors is an integer number (1275735867120).

Almost surely, 2^{121122201211000} is an apocalyptic number.

121122201211000 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 121122201211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163294190991360).

121122201211000 is an abundant number, since it is smaller than the sum of its proper divisors (205466180771720).

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

121122201211000 is a wasteful number, since it uses less digits than its factorization.

121122201211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8260503 (or 8260489 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121122201211000 its reverse (112102221121), we get a palindrome (121234303432121).

It can be divided in two parts, 12112220121 and 1000, that added together give a palindrome (12112221121).

The spelling of 121122201211000 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred one million, two hundred eleven thousand".