200121216906996 has 288 divisors, whose sum is σ = 666224908876800. Its totient is φ = 49069761845760.

The previous prime is 200121216906973. The next prime is 200121216906997. The reversal of 200121216906996 is 699609612121002.

200121216906996 is a `hidden beast` number, since 200 + 1 + 212 + 169 + 0 + 69 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200121216906997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8191840 + ... + 21618248.

It is an arithmetic number, because the mean of its divisors is an integer number (2313280933600).

Almost surely, 2^{200121216906996} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200121216906996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333112454438400).

200121216906996 is an abundant number, since it is smaller than the sum of its proper divisors (466103691969804).

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

200121216906996 is a wasteful number, since it uses less digits than its factorization.

200121216906996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13426739 (or 13426734 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 200121216906996 in words is "two hundred trillion, one hundred twenty-one billion, two hundred sixteen million, nine hundred six thousand, nine hundred ninety-six".