201122121111200 has 36 divisors (see below), whose sum is σ = 490989378164670. Its totient is φ = 80448848444160.

The previous prime is 201122121111193. The next prime is 201122121111209. The reversal of 201122121111200 is 2111121221102.

It can be written as a sum of positive squares in 3 ways, for example, as 93269160499216 + 107852960611984 = 9657596^2 + 10385228^2 .

It is not an unprimeable number, because it can be changed into a prime (201122121111209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125701324895 + ... + 125701326494.

Almost surely, 2^{201122121111200} is an apocalyptic number.

201122121111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122121111200 is an abundant number, since it is smaller than the sum of its proper divisors (289867257053470).

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

201122121111200 is a wasteful number, since it uses less digits than its factorization.

201122121111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251402651409 (or 251402651396 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 201122121111200 its reverse (2111121221102), we get a palindrome (203233242332302).

The spelling of 201122121111200 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred eleven thousand, two hundred".