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12223100102121 = 3212491087367681
BaseRepresentation
bin1011000111011110100110…
…0010100010010111101001
31121021111221212021120011200
42301313221202202113221
53100230402111231441
641555114211314413
72401042546415016
oct261675142422751
947244855246150
1012223100102121
113992873396697
121454b035aba09
136a883074902c
1430385b9a870d
15162e3e3797b6
hexb1de98a25e9

12223100102121 has 12 divisors (see below), whose sum is σ = 17669724832500. Its totient is φ = 8142209187840.

The previous prime is 12223100102119. The next prime is 12223100102131. The reversal of 12223100102121 is 12120100132221.

12223100102121 is a `hidden beast` number, since 1 + 222 + 310 + 0 + 10 + 2 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5004012411225 + 7219087690896 = 2236965^2 + 2686836^2 .

It is not a de Polignac number, because 12223100102121 - 21 = 12223100102119 is a prime.

It is a super-2 number, since 2×122231001021212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12223100102094 and 12223100102103.

It is not an unprimeable number, because it can be changed into a prime (12223100102131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543672600 + ... + 543695081.

It is an arithmetic number, because the mean of its divisors is an integer number (1472477069375).

Almost surely, 212223100102121 is an apocalyptic number.

It is an amenable number.

12223100102121 is a deficient number, since it is larger than the sum of its proper divisors (5446624730379).

12223100102121 is a wasteful number, since it uses less digits than its factorization.

12223100102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087368936 (or 1087368933 counting only the distinct ones).

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

Adding to 12223100102121 its reverse (12120100132221), we get a palindrome (24343200234342).

The spelling of 12223100102121 in words is "twelve trillion, two hundred twenty-three billion, one hundred million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 1249 3747 11241 1087367681 3262103043 9786309129 1358122233569 4074366700707 12223100102121