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12220121826 = 23211616715101
BaseRepresentation
bin10110110000110000…
…00100001011100010
31011112122022111201200
423120120010023202
5200011322344301
65340331342030
7611553215223
oct133030041342
934478274650
1012220121826
115200a38440
1224505b1916
1311c9945823
1483cd5b24a
154b7c51c86
hex2d86042e2

12220121826 has 96 divisors (see below), whose sum is σ = 29797574976. Its totient is φ = 3587760000.

The previous prime is 12220121813. The next prime is 12220121839. The reversal of 12220121826 is 62812102221.

It is an interprime number because it is at equal distance from previous prime (12220121813) and next prime (12220121839).

It is a self number, because there is not a number n which added to its sum of digits gives 12220121826.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801676 + ... + 816776.

It is an arithmetic number, because the mean of its divisors is an integer number (310391406).

Almost surely, 212220121826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220121826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898787488).

12220121826 is an abundant number, since it is smaller than the sum of its proper divisors (17577453150).

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

12220121826 is a wasteful number, since it uses less digits than its factorization.

12220121826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15248 (or 15245 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12220121826 in words is "twelve billion, two hundred twenty million, one hundred twenty-one thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 67 99 122 134 183 198 201 366 402 549 603 671 737 1098 1206 1342 1474 2013 2211 4026 4087 4422 6039 6633 8174 12078 12261 13266 15101 24522 30202 36783 44957 45303 73566 89914 90606 134871 135909 166111 269742 271818 332222 404613 498333 809226 921161 996666 1011767 1494999 1842322 2023534 2763483 2989998 3035301 5526966 6070602 8290449 9105903 10132771 11129437 16580898 18211806 20265542 22258874 30398313 33388311 60796626 61717787 66776622 91194939 100164933 123435574 182389878 185153361 200329866 370306722 555460083 678895657 1110920166 1357791314 2036686971 4073373942 6110060913 12220121826