201121112000 has 56 divisors (see below), whose sum is σ = 498076453680. Its totient is φ = 80448441600.

The previous prime is 201121111969. The next prime is 201121112063. The reversal of 201121112000 is 211121102.

201121112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12562070 + ... + 12578069.

Almost surely, 2^201121112000 is an apocalyptic number.

201121112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121112000 is an abundant number, since it is smaller than the sum of its proper divisors (296955341680).

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

201121112000 is an equidigital number, since it uses as much as digits as its factorization.

201121112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25140166 (or 25140146 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201121112000 its reverse (211121102), we get a palindrome (201332233102).

The spelling of 201121112000 in words is "two hundred one billion, one hundred twenty-one million, one hundred twelve thousand".