201120021200 has 120 divisors (see below), whose sum is σ = 555925430400. Its totient is φ = 68492505600.

The previous prime is 201120021197. The next prime is 201120021209. The reversal of 201120021200 is 2120021102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201120021209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176165 + ... + 658235.

It is an arithmetic number, because the mean of its divisors is an integer number (4632711920).

Almost surely, 2^201120021200 is an apocalyptic number.

201120021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201120021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277962715200).

201120021200 is an abundant number, since it is smaller than the sum of its proper divisors (354805409200).

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

201120021200 is a wasteful number, since it uses less digits than its factorization.

201120021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482245 (or 482234 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201120021200 its reverse (2120021102), we get a palindrome (203240042302).

The spelling of 201120021200 in words is "two hundred one billion, one hundred twenty million, twenty-one thousand, two hundred".