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12212030412 = 223223371912087
BaseRepresentation
bin10110101111110010…
…01100101111001100
31011112002002102101200
423113321030233030
5200002234433122
65335442105500
7611424355131
oct132771145714
934462072350
1012212030412
1151a741121a
12244994b290
1311c80718ca
1483bc52588
154b71a45ac
hex2d7e4cbcc

12212030412 has 144 divisors (see below), whose sum is σ = 33271160832. Its totient is φ = 3766815360.

The previous prime is 12212030387. The next prime is 12212030429. The reversal of 12212030412 is 21403021221.

It is a happy number.

12212030412 is a `hidden beast` number, since 1 + 221 + 2 + 0 + 30 + 412 = 666.

It is a super-2 number, since 2×122120304122 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5850433 + ... + 5852519.

It is an arithmetic number, because the mean of its divisors is an integer number (231049728).

Almost surely, 212212030412 is an apocalyptic number.

12212030412 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 12212030412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16635580416).

12212030412 is an abundant number, since it is smaller than the sum of its proper divisors (21059130420).

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

12212030412 is a wasteful number, since it uses less digits than its factorization.

12212030412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12212030412 its reverse (21403021221), we get a palindrome (33615051633).

The spelling of 12212030412 in words is "twelve billion, two hundred twelve million, thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 46 69 74 92 111 138 148 191 207 222 276 333 382 414 444 573 666 764 828 851 1146 1332 1702 1719 2087 2292 2553 3404 3438 4174 4393 5106 6261 6876 7067 7659 8348 8786 10212 12522 13179 14134 15318 17572 18783 21201 25044 26358 28268 30636 37566 39537 42402 48001 52716 63603 75132 77219 79074 84804 96002 127206 144003 154438 158148 162541 192004 231657 254412 288006 308876 325082 398617 432009 463314 487623 576012 650164 694971 797234 864018 926628 975246 1195851 1389942 1462869 1594468 1728036 1776037 1950492 2391702 2779884 2925738 3552074 3587553 4783404 5328111 5851476 7104148 7175106 9168191 10656222 14350212 14748829 15984333 18336382 21312444 27504573 29497658 31968666 36672764 44246487 55009146 58995316 63937332 82513719 88492974 110018292 132739461 165027438 176985948 265478922 330054876 339223067 530957844 678446134 1017669201 1356892268 2035338402 3053007603 4070676804 6106015206 12212030412