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12122211100122 = 23474828463581
BaseRepresentation
bin1011000001100110110000…
…0101100010010111011010
31120220212112201211020110000
42300121230011202113122
53042102242020200442
641440511130033430
72360541456144654
oct260315405422732
946825481736400
1012122211100122
1139540011601a2
121439447b78876
1369c1729c3b06
142dca0a8516d4
151604d7086d4c
hexb066c1625da

12122211100122 has 20 divisors (see below), whose sum is σ = 27162732280266. Its totient is φ = 4040737033320.

The previous prime is 12122211100093. The next prime is 12122211100141. The reversal of 12122211100122 is 22100111222121.

12122211100122 is a `hidden beast` number, since 1 + 212 + 221 + 110 + 0 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8406804503601 + 3715406596521 = 2899449^2 + 1927539^2 .

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 = 12122211100095 and 12122211100104.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37414231629 + ... + 37414231952.

Almost surely, 212122211100122 is an apocalyptic number.

12122211100122 is an abundant number, since it is smaller than the sum of its proper divisors (15040521180144).

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

12122211100122 is an equidigital number, since it uses as much as digits as its factorization.

12122211100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74828463595 (or 74828463586 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122211100122 its reverse (22100111222121), we get a palindrome (34222322322243).

The spelling of 12122211100122 in words is "twelve trillion, one hundred twenty-two billion, two hundred eleven million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 74828463581 149656927162 224485390743 448970781486 673456172229 1346912344458 2020368516687 4040737033374 6061105550061 12122211100122