Search a number
-
+
12111220202220 = 22325167402901537
BaseRepresentation
bin1011000000111101110011…
…1110100101101011101100
31120212211011202111202221100
42300033130332211223230
53041412234332432340
641431452345003100
72360002220101566
oct260173476455354
946784152452840
1012111220202220
11394a3810799a7
12143729b183490
1369b110935429
142dc286c70336
151600921e4830
hexb03dcfa5aec

12111220202220 has 72 divisors (see below), whose sum is σ = 36957352277664. Its totient is φ = 3210319438848.

The previous prime is 12111220202201. The next prime is 12111220202251. The reversal of 12111220202220 is 2220202211121.

It is a happy number.

12111220202220 is a `hidden beast` number, since 1 + 21 + 1 + 1 + 220 + 202 + 220 = 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 = 12111220202193 and 12111220202202.

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, 201420709 + ... + 201480828.

It is an arithmetic number, because the mean of its divisors is an integer number (513296559412).

Almost surely, 212111220202220 is an apocalyptic number.

12111220202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111220202220 is an abundant number, since it is smaller than the sum of its proper divisors (24846132075444).

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

12111220202220 is a wasteful number, since it uses less digits than its factorization.

12111220202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402901719 (or 402901714 counting only the distinct ones).

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

Adding to 12111220202220 its reverse (2220202211121), we get a palindrome (14331422413341).

The spelling of 12111220202220 in words is "twelve trillion, one hundred eleven billion, two hundred twenty million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 15030 30060 402901537 805803074 1208704611 1611606148 2014507685 2417409222 3626113833 4029015370 4834818444 6043523055 7252227666 8058030740 12087046110 14504455332 18130569165 24174092220 36261138330 67284556679 72522276660 134569113358 201853670037 269138226716 336422783395 403707340074 605561010111 672845566790 807414680148 1009268350185 1211122020222 1345691133580 2018536700370 2422244040444 3027805050555 4037073400740 6055610101110 12111220202220