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2122120300122 = 2323715121101767
BaseRepresentation
bin11110111000011000001…
…110100000011001011010
321111212120012201212102200
4132320120032200121122
5234232100244100442
64302515534511030
7306214055633334
oct36703016403132
97455505655380
102122120300122
11748a93649859
122a3345965476
13125165ac64a4
14749d5648454
153a3041aa34c
hex1ee183a065a

2122120300122 has 48 divisors (see below), whose sum is σ = 4753468666752. Its totient is φ = 683697218400.

The previous prime is 2122120300121. The next prime is 2122120300123. The reversal of 2122120300122 is 2210030212212.

2122120300122 is a `hidden beast` number, since 2 + 1 + 221 + 20 + 300 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (2122120300121) and next prime (2122120300123).

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 = 2122120300095 and 2122120300104.

It is not an unprimeable number, because it can be changed into a prime (2122120300121) 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 23 ways as a sum of consecutive naturals, for example, 10450318 + ... + 10651449.

It is an arithmetic number, because the mean of its divisors is an integer number (99030597224).

Almost surely, 22122120300122 is an apocalyptic number.

2122120300122 is an abundant number, since it is smaller than the sum of its proper divisors (2631348366630).

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

2122120300122 is a wasteful number, since it uses less digits than its factorization.

2122120300122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21101963 (or 21101960 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2122120300122 its reverse (2210030212212), we get a palindrome (4332150512334).

It can be divided in two parts, 2122120 and 300122, that added together give a palindrome (2422242).

The spelling of 2122120300122 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, three hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 151 222 302 333 453 666 906 1359 2718 5587 11174 16761 33522 50283 100566 21101767 42203534 63305301 126610602 189915903 379831806 780765379 1561530758 2342296137 3186366817 4684592274 6372733634 7026888411 9559100451 14053776822 19118200902 28677301353 57354602706 117895572229 235791144458 353686716687 707373433374 1061060150061 2122120300122