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201202201120122 = 232196779136181667
BaseRepresentation
bin101101101111111000001001…
…101110011100110101111010
3222101101202001100010122201100
4231233320021232130311322
5202332444101441320442
61551531003135432230
760244244052243426
oct5557701156346572
9871352040118640
10201202201120122
1159122413224584
121a696402085676
1388363948ab017
14379834a5dbb86
15183dae711884c
hexb6fe09b9cd7a

201202201120122 has 192 divisors, whose sum is σ = 471978841651200. Its totient is φ = 61750785507840.

The previous prime is 201202201120093. The next prime is 201202201120163. The reversal of 201202201120122 is 221021102202102.

It is a happy number.

201202201120122 is a `hidden beast` number, since 20 + 1 + 202 + 201 + 120 + 122 = 666.

It is a super-3 number, since 3×2012022011201223 (a number of 44 digits) contains 333 as substring.

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 = 201202201120095 and 201202201120104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2463649533 + ... + 2463731199.

It is an arithmetic number, because the mean of its divisors is an integer number (2458223133600).

Almost surely, 2201202201120122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201202201120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235989420825600).

201202201120122 is an abundant number, since it is smaller than the sum of its proper divisors (270776640531078).

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

201202201120122 is a wasteful number, since it uses less digits than its factorization.

201202201120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83201 (or 83198 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201202201120122 its reverse (221021102202102), we get a palindrome (422223303322224).

The spelling of 201202201120122 in words is "two hundred one trillion, two hundred two billion, two hundred one million, one hundred twenty thousand, one hundred twenty-two".