121330240200 has 336 divisors, whose sum is σ = 455487136020. Its totient is φ = 29865438720.

The previous prime is 121330240189. The next prime is 121330240217. The reversal of 121330240200 is 2042033121.

121330240200 is a `hidden beast` number, since 121 + 3 + 302 + 40 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 66430938564 + 54899301636 = 257742^2 + 234306^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 83 ways as a sum of consecutive naturals, for example, 1863394 + ... + 1927406.

Almost surely, 2^121330240200 is an apocalyptic number.

121330240200 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 121330240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227743568010).

121330240200 is an abundant number, since it is smaller than the sum of its proper divisors (334156895820).

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

121330240200 is a wasteful number, since it uses less digits than its factorization.

121330240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64060 (or 64036 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 121330240200 its reverse (2042033121), we get a palindrome (123372273321).

The spelling of 121330240200 in words is "one hundred twenty-one billion, three hundred thirty million, two hundred forty thousand, two hundred".