Search a number
-
+
1222112022120 = 2332511308614147
BaseRepresentation
bin10001110010001011100…
…011011000111001101000
311022211111002101012220200
4101302023203120321220
5130010341134201440
62333232553552200
7154203034534563
oct21621343307150
94284432335820
101222112022120
11431327415640
12178a2aa15660
138b3246cc572
14432171094da
1521bcb095c30
hex11c8b8d8e68

1222112022120 has 96 divisors (see below), whose sum is σ = 4332942637920. Its totient is φ = 296269580160.

The previous prime is 1222112022073. The next prime is 1222112022127. The reversal of 1222112022120 is 212202112221.

It is a happy number.

It is a super-2 number, since 2×12221120221202 (a number of 25 digits) contains 22 as substring.

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 = 1222112022093 and 1222112022102.

It is not an unprimeable number, because it can be changed into a prime (1222112022127) 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, 154303114 + ... + 154311033.

It is an arithmetic number, because the mean of its divisors is an integer number (45134819145).

Almost surely, 21222112022120 is an apocalyptic number.

1222112022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222112022120 is an abundant number, since it is smaller than the sum of its proper divisors (3110830615800).

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

1222112022120 is a wasteful number, since it uses less digits than its factorization.

1222112022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308614175 (or 308614168 counting only the distinct ones).

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

Adding to 1222112022120 its reverse (212202112221), we get a palindrome (1434314134341).

The spelling of 1222112022120 in words is "one trillion, two hundred twenty-two billion, one hundred twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 308614147 617228294 925842441 1234456588 1543070735 1851684882 2468913176 2777527323 3086141470 3394755617 3703369764 4629212205 5555054646 6172282940 6789511234 7406739528 9258424410 10184266851 11110109292 12344565880 13579022468 13887636615 16973778085 18516848820 20368533702 22220218584 27158044936 27775273230 30552800553 33947556170 37033697640 40737067404 50921334255 55550546460 61105601106 67895112340 81474134808 101842668510 111101092920 122211202212 135790224680 152764002765 203685337020 244422404424 305528005530 407370674040 611056011060 1222112022120