201202112120 has 192 divisors, whose sum is σ = 488009901600. Its totient is φ = 74635059200.

The previous prime is 201202112113. The next prime is 201202112123. The reversal of 201202112120 is 21211202102.

201202112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201202112095 and 201202112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201202112123) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 454180619 + ... + 454181061.

Almost surely, 2^201202112120 is an apocalyptic number.

201202112120 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 201202112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244004950800).

201202112120 is an abundant number, since it is smaller than the sum of its proper divisors (286807789480).

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

201202112120 is a wasteful number, since it uses less digits than its factorization.

201202112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201202112120 its reverse (21211202102), we get a palindrome (222413314222).

The spelling of 201202112120 in words is "two hundred one billion, two hundred two million, one hundred twelve thousand, one hundred twenty".