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12220131220 = 2251126182781
BaseRepresentation
bin10110110000110000…
…00110011110010100
31011112122022222121121
423120120012132110
5200011323144340
65340331453324
7611553254503
oct133030063624
934478288547
1012220131220
115200a44500
1224505b7244
1311c9949b9b
1483cd6083a
154b7c5494a
hex2d8606794

12220131220 has 72 divisors (see below), whose sum is σ = 28670055624. Its totient is φ = 4370784000.

The previous prime is 12220131137. The next prime is 12220131227. The reversal of 12220131220 is 2213102221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 494706564 + 11725424656 = 22242^2 + 108284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12220131194 and 12220131203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220131227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106230 + ... + 189010.

It is an arithmetic number, because the mean of its divisors is an integer number (398195217).

Almost surely, 212220131220 is an apocalyptic number.

12220131220 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 12220131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14335027812).

12220131220 is an abundant number, since it is smaller than the sum of its proper divisors (16449924404).

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

12220131220 is a wasteful number, since it uses less digits than its factorization.

12220131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82873 (or 82860 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12220131220 its reverse (2213102221), we get a palindrome (14433233441).

The spelling of 12220131220 in words is "twelve billion, two hundred twenty million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 121 122 220 242 244 305 484 605 610 671 1210 1220 1342 2420 2684 3355 6710 7381 13420 14762 29524 36905 73810 82781 147620 165562 331124 413905 827810 910591 1655620 1821182 3642364 4552955 5049641 9105910 10016501 10099282 18211820 20033002 20198564 25248205 40066004 50082505 50496410 55546051 100165010 100992820 111092102 200330020 222184204 277730255 555460510 611006561 1110921020 1222013122 2444026244 3055032805 6110065610 12220131220