Search a number
-
+
12211011221112 = 23371163448327
BaseRepresentation
bin1011000110110001100011…
…1111000111011001111000
31121020100202100220210000000
42301230120333013121320
53100031122333033422
641545354444513000
72400134145545664
oct261543077073170
947210670823000
1012211011221112
11398872a548440
1214526aab4b760
136a76550649c2
143030322518a4
15162982dedcac
hexb1b18fc7678

12211011221112 has 128 divisors (see below), whose sum is σ = 37459892851200. Its totient is φ = 3700306372320.

The previous prime is 12211011221111. The next prime is 12211011221177. The reversal of 12211011221112 is 21112211011221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211011221111) 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, 31531708 + ... + 31916619.

It is an arithmetic number, because the mean of its divisors is an integer number (292655412900).

Almost surely, 212211011221112 is an apocalyptic number.

12211011221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211011221112 is an abundant number, since it is smaller than the sum of its proper divisors (25248881630088).

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

12211011221112 is an equidigital number, since it uses as much as digits as its factorization.

12211011221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63448365 (or 63448343 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12211011221112 its reverse (21112211011221), we get a palindrome (33323222232333).

The spelling of 12211011221112 in words is "twelve trillion, two hundred eleven billion, eleven million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 729 792 891 972 1188 1458 1782 1944 2187 2376 2673 2916 3564 4374 5346 5832 7128 8019 8748 10692 16038 17496 21384 24057 32076 48114 64152 96228 192456 63448327 126896654 190344981 253793308 380689962 507586616 571034943 697931597 761379924 1142069886 1395863194 1522759848 1713104829 2093794791 2284139772 2791726388 3426209658 4187589582 4568279544 5139314487 5583452776 6281384373 6852419316 8375179164 10278628974 12562768746 13704838632 15417943461 16750358328 18844153119 20557257948 25125537492 30835886922 37688306238 41114515896 46253830383 50251074984 56532459357 61671773844 75376612476 92507660766 113064918714 123343547688 138761491149 150753224952 169597378071 185015321532 226129837428 277522982298 339194756142 370030643064 452259674856 508792134213 555045964596 678389512284 1017584268426 1110091929192 1356779024568 1526376402639 2035168536852 3052752805278 4070337073704 6105505610556 12211011221112