121213012200 has 192 divisors, whose sum is σ = 429642024960. Its totient is φ = 27692824320.

The previous prime is 121213012187. The next prime is 121213012211. The reversal of 121213012200 is 2210312121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121213012200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11111949 + ... + 11122851.

It is an arithmetic number, because the mean of its divisors is an integer number (2237718880).

Almost surely, 2^121213012200 is an apocalyptic number.

121213012200 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 121213012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214821012480).

121213012200 is an abundant number, since it is smaller than the sum of its proper divisors (308429012760).

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

121213012200 is a wasteful number, since it uses less digits than its factorization.

121213012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13576 (or 13567 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121213012200 its reverse (2210312121), we get a palindrome (123423324321).

The spelling of 121213012200 in words is "one hundred twenty-one billion, two hundred thirteen million, twelve thousand, two hundred".