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12214032420 = 2235972339007
BaseRepresentation
bin10110110000000001…
…10101100000100100
31011112012212010122010
423120000311200210
5200003243014140
65335553034220
7611450363652
oct133000654044
934465763563
1012214032420
1151a8559377
12244a555970
1311c85c2c25
1483c213dd2
154b744c880
hex2d8035824

12214032420 has 96 divisors (see below), whose sum is σ = 34704004608. Its totient is φ = 3209306112.

The previous prime is 12214032349. The next prime is 12214032421. The reversal of 12214032420 is 2423041221.

It is a super-2 number, since 2×122140324202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12214032421) 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, 1351557 + ... + 1360563.

It is an arithmetic number, because the mean of its divisors is an integer number (361500048).

Almost surely, 212214032420 is an apocalyptic number.

12214032420 is a gapful number since it is divisible by the number (10) 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 12214032420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352002304).

12214032420 is an abundant number, since it is smaller than the sum of its proper divisors (22489972188).

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

12214032420 is a wasteful number, since it uses less digits than its factorization.

12214032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9349 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12214032420 its reverse (2423041221), we get a palindrome (14637073641).

The spelling of 12214032420 in words is "twelve billion, two hundred fourteen million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 233 291 388 466 485 582 699 932 970 1164 1165 1398 1455 1940 2330 2796 2910 3495 4660 5820 6990 9007 13980 18014 22601 27021 36028 45035 45202 54042 67803 90070 90404 108084 113005 135105 135606 180140 226010 270210 271212 339015 452020 540420 678030 873679 1356060 1747358 2098631 2621037 3494716 4197262 4368395 5242074 6295893 8394524 8736790 10484148 10493155 12591786 13105185 17473580 20986310 25183572 26210370 31479465 41972620 52420740 62958930 125917860 203567207 407134414 610701621 814268828 1017836035 1221403242 2035672070 2442806484 3053508105 4071344140 6107016210 12214032420