Search a number
-
+
12212120111220 = 22335161271402309
BaseRepresentation
bin1011000110110101101100…
…0101001100100001110100
31121020110121122111020021000
42301231123011030201310
53100040410222024340
641550100500123300
72400203502136521
oct261553305144164
947213548436230
1012212120111220
113989149484a47
12145295a396530
136a77a0a08cb3
143030d9626148
151629ea43dd30
hexb1b5b14c874

12212120111220 has 96 divisors (see below), whose sum is σ = 37995645542400. Its totient is φ = 3256361108352.

The previous prime is 12212120111173. The next prime is 12212120111227. The reversal of 12212120111220 is 2211102121221.

12212120111220 is a `hidden beast` number, since 1 + 2 + 212 + 120 + 111 + 220 = 666.

It is a super-2 number, since 2×122121201112202 (a number of 27 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 = 12212120111193 and 12212120111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212120111227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8007426 + ... + 9409734.

It is an arithmetic number, because the mean of its divisors is an integer number (395787974400).

Almost surely, 212212120111220 is an apocalyptic number.

12212120111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212120111220 is an abundant number, since it is smaller than the sum of its proper divisors (25783525431180).

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

12212120111220 is a wasteful number, since it uses less digits than its factorization.

12212120111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418454 (or 1418446 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12212120111220 its reverse (2211102121221), we get a palindrome (14423222232441).

The spelling of 12212120111220 in words is "twelve trillion, two hundred twelve billion, one hundred twenty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 16127 32254 48381 64508 80635 96762 145143 161270 193524 241905 290286 322540 435429 483810 580572 725715 870858 967620 1402309 1451430 1741716 2177145 2804618 2902860 4206927 4354290 5609236 7011545 8413854 8708580 12620781 14023090 16827708 21034635 25241562 28046180 37862343 42069270 50483124 63103905 75724686 84138540 126207810 151449372 189311715 252415620 378623430 757246860 22615037243 45230074486 67845111729 90460148972 113075186215 135690223458 203535335187 226150372430 271380446916 339225558645 407070670374 452300744860 610606005561 678451117290 814141340748 1017676675935 1221212011122 1356902234580 2035353351870 2442424022244 3053030027805 4070706703740 6106060055610 12212120111220