Search a number
-
+
22112202012120 = 23325115583889397
BaseRepresentation
bin1010000011100011001011…
…11100100011010111011000
32220021220110101012010202100
411001301211330203113120
510344241242203341440
6115010112205403400
74441360656626553
oct501614574432730
986256411163670
1022112202012120
117055806632260
1225915ab869560
13c452302cc44c
1456634453369a
152852c8424230
hex141c65f235d8

22112202012120 has 96 divisors (see below), whose sum is σ = 78397807147920. Its totient is φ = 5360533820160.

The previous prime is 22112202012113. The next prime is 22112202012163. The reversal of 22112202012120 is 2121020221122.

It is a happy number.

22112202012120 is a `hidden beast` number, since 2 + 211 + 220 + 20 + 1 + 212 + 0 = 666.

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 = 22112202012093 and 22112202012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2791940739 + ... + 2791948658.

Almost surely, 222112202012120 is an apocalyptic number.

22112202012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112202012120 is an abundant number, since it is smaller than the sum of its proper divisors (56285605135800).

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

22112202012120 is a wasteful number, since it uses less digits than its factorization.

22112202012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5583889425 (or 5583889418 counting only the distinct ones).

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

Adding to 22112202012120 its reverse (2121020221122), we get a palindrome (24233222233242).

The spelling of 22112202012120 in words is "twenty-two trillion, one hundred twelve billion, two hundred two million, twelve 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 5583889397 11167778794 16751668191 22335557588 27919446985 33503336382 44671115176 50255004573 55838893970 61422783367 67006672764 83758340955 100510009146 111677787940 122845566734 134013345528 167516681910 184268350101 201020018292 223355575880 245691133468 251275022865 307113916835 335033363820 368536700202 402040036584 491382266936 502550045730 552805050303 614227833670 670066727640 737073400404 921341750505 1005100091460 1105610100606 1228455667340 1474146800808 1842683501010 2010200182920 2211220201212 2456911334680 2764025251515 3685367002020 4422440402424 5528050503030 7370734004040 11056101006060 22112202012120