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2122201120122 = 23379809361469
BaseRepresentation
bin11110111000011101000…
…010110011110101111010
321111212202211210221122000
4132320131002303311322
5234232231441320442
64302531543041430
7306216056613216
oct36703502636572
97455684727560
102122201120122
11749025230046
122a3368a40276
13125179782b85
1474a02285946
153a30b321d4c
hex1ee1d0b3d7a

2122201120122 has 64 divisors (see below), whose sum is σ = 4776366528000. Its totient is φ = 698348274624.

The previous prime is 2122201120121. The next prime is 2122201120177. The reversal of 2122201120122 is 2210211022212.

It is a happy number.

2122201120122 is a `hidden beast` number, since 212 + 220 + 11 + 201 + 22 = 666.

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 = 2122201120095 and 2122201120104.

It is not an unprimeable number, because it can be changed into a prime (2122201120121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34494004 + ... + 34555472.

It is an arithmetic number, because the mean of its divisors is an integer number (74630727000).

Almost surely, 22122201120122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122201120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388183264000).

2122201120122 is an abundant number, since it is smaller than the sum of its proper divisors (2654165407878).

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

2122201120122 is a wasteful number, since it uses less digits than its factorization.

2122201120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69652 (or 69646 counting only the distinct ones).

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

Adding to 2122201120122 its reverse (2210211022212), we get a palindrome (4332412142334).

The spelling of 2122201120122 in words is "two trillion, one hundred twenty-two billion, two hundred one million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 4266 8093 16186 24279 48558 61469 72837 122938 145674 184407 218511 368814 437022 553221 639347 1106442 1278694 1659663 1918041 3319326 3836082 4856051 5754123 9712102 11508246 14568153 17262369 29136306 34524738 43704459 87408918 131113377 262226754 497468617 994937234 1492405851 2984811702 4477217553 8954435106 13431652659 26863305318 39300020743 78600041486 117900062229 235800124458 353700186687 707400373374 1061100560061 2122201120122