121113222102000 has 960 divisors, whose sum is σ = 444215470533120. Its totient is φ = 30727517184000.

The previous prime is 121113222101987. The next prime is 121113222102001. The reversal of 121113222102000 is 201222311121.

121113222102000 is a `hidden beast` number, since 1 + 2 + 111 + 322 + 210 + 20 + 0 + 0 = 666.

121113222102000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121113222102001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4887329610 + ... + 4887354390.

It is an arithmetic number, because the mean of its divisors is an integer number (462724448472).

Almost surely, 2^{121113222102000} is an apocalyptic number.

121113222102000 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 121113222102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222107735266560).

121113222102000 is an abundant number, since it is smaller than the sum of its proper divisors (323102248431120).

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

121113222102000 is a wasteful number, since it uses less digits than its factorization.

121113222102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25019 (or 25000 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121113222102000 its reverse (201222311121), we get a palindrome (121314444413121).

The spelling of 121113222102000 in words is "one hundred twenty-one trillion, one hundred thirteen billion, two hundred twenty-two million, one hundred two thousand".