201121122001200 has 120 divisors (see below), whose sum is σ = 644274793388688. Its totient is φ = 53630900720640.

The previous prime is 201121122001199. The next prime is 201121122001279. The reversal of 201121122001200 is 2100221121102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201121122001200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44265822 + ... + 48597378.

Almost surely, 2^{201121122001200} is an apocalyptic number.

201121122001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121122001200 is an abundant number, since it is smaller than the sum of its proper divisors (443153671387488).

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

201121122001200 is a wasteful number, since it uses less digits than its factorization.

201121122001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370271 (or 4370260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201121122001200 its reverse (2100221121102), we get a palindrome (203221343122302).

The spelling of 201121122001200 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twenty-two million, one thousand, two hundred".