121222110021200 has 30 divisors (see below), whose sum is σ = 291236119326894. Its totient is φ = 48488844008320.

The previous prime is 121222110021169. The next prime is 121222110021209. The reversal of 121222110021200 is 2120011222121.

It can be written as a sum of positive squares in 3 ways, for example, as 9862463887936 + 111359646133264 = 3140456^2 + 10552708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222110021209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 151527637127 + ... + 151527637926.

Almost surely, 2^{121222110021200} is an apocalyptic number.

121222110021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121222110021200 is an abundant number, since it is smaller than the sum of its proper divisors (170014009305694).

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

121222110021200 is a wasteful number, since it uses less digits than its factorization.

121222110021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303055275071 (or 303055275060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121222110021200 its reverse (2120011222121), we get a palindrome (123342121243321).

The spelling of 121222110021200 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred ten million, twenty-one thousand, two hundred".