200120121111200 has 72 divisors (see below), whose sum is σ = 489773833960572. Its totient is φ = 79846415953920.

The previous prime is 200120121111133. The next prime is 200120121111233. The reversal of 200120121111200 is 2111121021002.

It can be written as a sum of positive squares in 6 ways, for example, as 142110145632016 + 58009975479184 = 11920996^2 + 7616428^2 .

It is a super-2 number, since 2×200120121111200² (a number of 29 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 314732969 + ... + 315368168.

Almost surely, 2^{200120121111200} is an apocalyptic number.

200120121111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200120121111200 is an abundant number, since it is smaller than the sum of its proper divisors (289653712849372).

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

200120121111200 is a wasteful number, since it uses less digits than its factorization.

200120121111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630101554 (or 630101541 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 200120121111200 its reverse (2111121021002), we get a palindrome (202231242132202).

The spelling of 200120121111200 in words is "two hundred trillion, one hundred twenty billion, one hundred twenty-one million, one hundred eleven thousand, two hundred".