Search a number
-
+
12010221220212 = 22371992768897
BaseRepresentation
bin1010111011000101100011…
…1110000011000101110100
31120112011110222002220000000
42232301120332003011310
53033233413113021322
641313230334151300
72346465322652235
oct256613076030564
946464428086000
1012010221220212
113910562855936
12141b7b2952530
13691736183c97
142d742528908c
1515c63042a3ac
hexaec58f83174

12010221220212 has 96 divisors (see below), whose sum is σ = 31524064938240. Its totient is φ = 4003148065536.

The previous prime is 12010221220181. The next prime is 12010221220241. The reversal of 12010221220212 is 21202212201021.

It is a happy number.

12010221220212 is a `hidden beast` number, since 1 + 2 + 0 + 10 + 221 + 220 + 212 = 666.

12010221220212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174286948 + ... + 174355844.

It is an arithmetic number, because the mean of its divisors is an integer number (328375676440).

Almost surely, 212010221220212 is an apocalyptic number.

12010221220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010221220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15762032469120).

12010221220212 is an abundant number, since it is smaller than the sum of its proper divisors (19513843718028).

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

12010221220212 is an equidigital number, since it uses as much as digits as its factorization.

12010221220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88849 (or 88829 counting only the distinct ones).

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

Adding to 12010221220212 its reverse (21202212201021), we get a palindrome (33212433421233).

The spelling of 12010221220212 in words is "twelve trillion, ten billion, two hundred twenty-one million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 19927 39854 59781 68897 79708 119562 137794 179343 206691 239124 275588 358686 413382 538029 620073 717372 826764 1076058 1240146 1614087 1860219 2152116 2480292 3228174 3720438 4842261 5580657 6456348 7440876 9684522 11161314 14526783 16741971 19369044 22322628 29053566 33483942 43580349 50225913 58107132 66967884 87160698 100451826 150677739 174321396 200903652 301355478 602710956 1372910519 2745821038 4118731557 5491642076 8237463114 12356194671 16474926228 24712389342 37068584013 49424778684 74137168026 111205752039 148274336052 222411504078 333617256117 444823008156 667234512234 1000851768351 1334469024468 2001703536702 3002555305053 4003407073404 6005110610106 12010221220212