201202201111120 has 320 divisors, whose sum is σ = 534513331814400. Its totient is φ = 69720458987520.

The previous prime is 201202201111111. The next prime is 201202201111123. The reversal of 201202201111120 is 21111102202102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201202201111094 and 201202201111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201202201111123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7767512089 + ... + 7767537991.

It is an arithmetic number, because the mean of its divisors is an integer number (1670354161920).

Almost surely, 2^{201202201111120} is an apocalyptic number.

201202201111120 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 201202201111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267256665907200).

201202201111120 is an abundant number, since it is smaller than the sum of its proper divisors (333311130703280).

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

201202201111120 is a wasteful number, since it uses less digits than its factorization.

201202201111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27378 (or 27372 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201202201111120 its reverse (21111102202102), we get a palindrome (222313303313222).

The spelling of 201202201111120 in words is "two hundred one trillion, two hundred two billion, two hundred one million, one hundred eleven thousand, one hundred twenty".