201120131202120 has 768 divisors, whose sum is σ = 726862836772800. Its totient is φ = 47926290677760.

The previous prime is 201120131202113. The next prime is 201120131202157. The reversal of 201120131202120 is 21202131021102.

201120131202120 is a `hidden beast` number, since 20 + 1 + 120 + 1 + 312 + 0 + 212 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 28872933209316 + 172247197992804 = 5373354^2 + 13124298^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201120131202093 and 201120131202102.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4165592380 + ... + 4165640660.

Almost surely, 2^{201120131202120} is an apocalyptic number.

201120131202120 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 201120131202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363431418386400).

201120131202120 is an abundant number, since it is smaller than the sum of its proper divisors (525742705570680).

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

201120131202120 is a wasteful number, since it uses less digits than its factorization.

201120131202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48610 (or 48603 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201120131202120 its reverse (21202131021102), we get a palindrome (222322262223222).

The spelling of 201120131202120 in words is "two hundred one trillion, one hundred twenty billion, one hundred thirty-one million, two hundred two thousand, one hundred twenty".