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222112200010122 = 232371709195144413
BaseRepresentation
bin110010100000001010000110…
…110010000010100110001010
31002010102201102010001111002200
4302200022012302002212022
5213103041241200310442
62104220534104141030
764533035242235562
oct6240120662024612
91063381363044080
10222112200010122
11648542894a8464
1220ab29ba467776
1396c2124039cc6
143cbc405b95da2
151aa29ac21a34c
hexca0286c8298a

222112200010122 has 48 divisors (see below), whose sum is σ = 494538876847080. Its totient is φ = 71994237630336.

The previous prime is 222112200010097. The next prime is 222112200010147. The reversal of 222112200010122 is 221010002211222.

It is a happy number.

222112200010122 is a `hidden beast` number, since 222 + 112 + 200 + 0 + 10 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (222112200010097) and next prime (222112200010147).

It can be written as a sum of positive squares in 4 ways, for example, as 131385031953561 + 90727168056561 = 11462331^2 + 9525081^2 .

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 = 222112200010095 and 222112200010104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96434013 + ... + 98710400.

Almost surely, 2222112200010122 is an apocalyptic number.

222112200010122 is an abundant number, since it is smaller than the sum of its proper divisors (272426676836958).

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

222112200010122 is a wasteful number, since it uses less digits than its factorization.

222112200010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195146167 (or 195146164 counting only the distinct ones).

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

Adding to 222112200010122 its reverse (221010002211222), we get a palindrome (443122202221344).

The spelling of 222112200010122 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1709 3418 5127 10254 15381 30762 63233 126466 189699 379398 569097 1138194 195144413 390288826 585433239 1170866478 1756299717 3512599434 7220343281 14440686562 21661029843 43322059686 64983089529 129966179058 333501801817 667003603634 1000505405451 2001010810902 3001516216353 6003032432706 12339566667229 24679133334458 37018700001687 74037400003374 111056100005061 222112200010122