121210202000 has 120 divisors (see below), whose sum is σ = 295332633960. Its totient is φ = 48115276800.

The previous prime is 121210201997. The next prime is 121210202063. The reversal of 121210202000 is 202012121.

It is a happy number.

121210202000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 87230441104 + 33979760896 = 295348^2 + 184336^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37536386 + ... + 37539614.

It is an arithmetic number, because the mean of its divisors is an integer number (2461105283).

Almost surely, 2^121210202000 is an apocalyptic number.

121210202000 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 121210202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147666316980).

121210202000 is an abundant number, since it is smaller than the sum of its proper divisors (174122431960).

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

121210202000 is an equidigital number, since it uses as much as digits as its factorization.

121210202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 121210202000 its reverse (202012121), we get a palindrome (121412214121).

The spelling of 121210202000 in words is "one hundred twenty-one billion, two hundred ten million, two hundred two thousand".