121134020200 has 96 divisors (see below), whose sum is σ = 299365939800. Its totient is φ = 45425623040.

The previous prime is 121134020173. The next prime is 121134020221. The reversal of 121134020200 is 2020431121.

It can be written as a sum of positive squares in 12 ways, for example, as 59116087044 + 62017933156 = 243138^2 + 249034^2 .

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, 804486 + ... + 943114.

Almost surely, 2^121134020200 is an apocalyptic number.

121134020200 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 121134020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149682969900).

121134020200 is an abundant number, since it is smaller than the sum of its proper divisors (178231919600).

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

121134020200 is a wasteful number, since it uses less digits than its factorization.

121134020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138919 (or 138910 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 121134020200 its reverse (2020431121), we get a palindrome (123154451321).

The spelling of 121134020200 in words is "one hundred twenty-one billion, one hundred thirty-four million, twenty thousand, two hundred".