121202220012000 has 384 divisors, whose sum is σ = 407916621665280. Its totient is φ = 31437281433600.

The previous prime is 121202220011987. The next prime is 121202220012053. The reversal of 121202220012000 is 210022202121.

121202220012000 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 (15).

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, 1486027221 + ... + 1486108779.

It is an arithmetic number, because the mean of its divisors is an integer number (1062282868920).

Almost surely, 2^{121202220012000} is an apocalyptic number.

121202220012000 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 121202220012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203958310832640).

121202220012000 is an abundant number, since it is smaller than the sum of its proper divisors (286714401653280).

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

121202220012000 is a wasteful number, since it uses less digits than its factorization.

121202220012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84971 (or 84953 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 121202220012000 its reverse (210022202121), we get a palindrome (121412242214121).

The spelling of 121202220012000 in words is "one hundred twenty-one trillion, two hundred two billion, two hundred twenty million, twelve thousand".