121012233200 has 120 divisors (see below), whose sum is σ = 295946869200. Its totient is φ = 47538247680.

The previous prime is 121012233193. The next prime is 121012233229. The reversal of 121012233200 is 2332210121.

It is a congruent number.

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, 34289036 + ... + 34292564.

It is an arithmetic number, because the mean of its divisors is an integer number (2466223910).

Almost surely, 2^121012233200 is an apocalyptic number.

121012233200 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 121012233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147973434600).

121012233200 is an abundant number, since it is smaller than the sum of its proper divisors (174934636000).

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

121012233200 is a wasteful number, since it uses less digits than its factorization.

121012233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 121012233200 its reverse (2332210121), we get a palindrome (123344443321).

The spelling of 121012233200 in words is "one hundred twenty-one billion, twelve million, two hundred thirty-three thousand, two hundred".