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12122112212122 = 2111516536918087
BaseRepresentation
bin1011000001100110011000…
…1100010011110010011010
31120220212021211202012121111
42300121212030103302122
53042102041211241442
641440453234330534
72360536145463523
oct260314614236232
946825254665544
1012122112212122
113953a60359180
12143941aa29a4a
1369c15837c4c3
142dc9db66d84a
151604cd551b17
hexb0666313c9a

12122112212122 has 64 divisors (see below), whose sum is σ = 20029544552448. Its totient is φ = 5456594520000.

The previous prime is 12122112212113. The next prime is 12122112212137. The reversal of 12122112212122 is 22121221122121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12122112212093 and 12122112212102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1498958763 + ... + 1498966849.

It is an arithmetic number, because the mean of its divisors is an integer number (312961633632).

Almost surely, 212122112212122 is an apocalyptic number.

12122112212122 is a deficient number, since it is larger than the sum of its proper divisors (7907432340326).

12122112212122 is a wasteful number, since it uses less digits than its factorization.

12122112212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9595.

The product of its digits is 256, while the sum is 22.

Adding to 12122112212122 its reverse (22121221122121), we get a palindrome (34243333334243).

It can be divided in two parts, 121221122121 and 22, that multiplied together give a palindrome (2666864686662).

The spelling of 12122112212122 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 151 302 653 691 1306 1382 1661 3322 7183 7601 8087 14366 15202 16174 88957 98603 104341 177914 197206 208682 451223 902446 1084633 1147751 1221137 2169266 2295502 2442274 4963453 5280811 5588117 9926906 10561622 11176234 13432507 26865014 58088921 61469287 68134673 116177842 122938574 136269346 749481403 797402461 843805667 1498962806 1594804922 1687611334 3649040401 7298080802 8771427071 9281862337 17542854142 18563724674 40139444411 80278888822 551005100551 1102010201102 6061056106061 12122112212122