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20121221220 = 2235587647883
BaseRepresentation
bin10010101111010100…
…010111100001100100
31220221021121221111120
4102233110113201210
5312202013034340
613124335333540
71311423362352
oct225724274144
956837557446
1020121221220
1185959a5351
123a966812b0
131b8883b679
14d8c43c7d2
157cb7134d0
hex4af517864

20121221220 has 96 divisors (see below), whose sum is σ = 56586636288. Its totient is φ = 5342182272.

The previous prime is 20121221161. The next prime is 20121221249. The reversal of 20121221220 is 2212212102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20121221220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22786899 + ... + 22787781.

It is an arithmetic number, because the mean of its divisors is an integer number (589444128).

Almost surely, 220121221220 is an apocalyptic number.

20121221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121221220 is an abundant number, since it is smaller than the sum of its proper divisors (36465415068).

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

20121221220 is a wasteful number, since it uses less digits than its factorization.

20121221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20121221220 its reverse (2212212102), we get a palindrome (22333433322).

The spelling of 20121221220 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 587 647 883 1174 1294 1761 1766 1941 2348 2588 2649 2935 3235 3522 3532 3882 4415 5298 5870 6470 7044 7764 8805 8830 9705 10596 11740 12940 13245 17610 17660 19410 26490 35220 38820 52980 379789 518321 571301 759578 1036642 1139367 1142602 1519156 1554963 1713903 1898945 2073284 2278734 2285204 2591605 2856505 3109926 3427806 3797890 4557468 5183210 5696835 5713010 6219852 6855612 7595780 7774815 8569515 10366420 11393670 11426020 15549630 17139030 22787340 31099260 34278060 335353687 670707374 1006061061 1341414748 1676768435 2012122122 3353536870 4024244244 5030305305 6707073740 10060610610 20121221220