201202120120 has 64 divisors (see below), whose sum is σ = 458995507200. Its totient is φ = 79364987520.

The previous prime is 201202120109. The next prime is 201202120121. The reversal of 201202120120 is 21021202102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 201202120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201202120121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2574825 + ... + 2651815.

It is an arithmetic number, because the mean of its divisors is an integer number (7171804800).

Almost surely, 2^201202120120 is an apocalyptic number.

201202120120 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 201202120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229497753600).

201202120120 is an abundant number, since it is smaller than the sum of its proper divisors (257793387080).

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

201202120120 is a wasteful number, since it uses less digits than its factorization.

201202120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77908 (or 77904 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201202120120 its reverse (21021202102), we get a palindrome (222223322222).

The spelling of 201202120120 in words is "two hundred one billion, two hundred two million, one hundred twenty thousand, one hundred twenty".