121020002211200 has 192 divisors, whose sum is σ = 300064953988800. Its totient is φ = 48228775741440.

The previous prime is 121020002211181. The next prime is 121020002211217. The reversal of 121020002211200 is 2112200020121.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2297807267 + ... + 2297859933.

It is an arithmetic number, because the mean of its divisors is an integer number (1562838302025).

Almost surely, 2^{121020002211200} is an apocalyptic number.

121020002211200 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 121020002211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150032476994400).

121020002211200 is an abundant number, since it is smaller than the sum of its proper divisors (179044951777600).

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

121020002211200 is a wasteful number, since it uses less digits than its factorization.

121020002211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55337 (or 55320 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121020002211200 its reverse (2112200020121), we get a palindrome (123132202231321).

The spelling of 121020002211200 in words is "one hundred twenty-one trillion, twenty billion, two million, two hundred eleven thousand, two hundred".