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20121221208 = 23311181431977
BaseRepresentation
bin10010101111010100…
…010111100001011000
31220221021121221111010
4102233110113201120
5312202013034313
613124335333520
71311423362334
oct225724274130
956837557433
1020121221208
1185959a5340
123a966812a0
131b8883b66a
14d8c43c7c4
157cb7134c3
hex4af517858

20121221208 has 128 divisors (see below), whose sum is σ = 55363875840. Its totient is φ = 6043392000.

The previous prime is 20121221161. The next prime is 20121221249. The reversal of 20121221208 is 80212212102.

It is a congruent number.

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, 20594416 + ... + 20595392.

It is an arithmetic number, because the mean of its divisors is an integer number (432530280).

Almost surely, 220121221208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121221208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27681937920).

20121221208 is an abundant number, since it is smaller than the sum of its proper divisors (35242654632).

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

20121221208 is a wasteful number, since it uses less digits than its factorization.

20121221208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 20121221208 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 181 264 362 431 543 724 862 977 1086 1293 1448 1724 1954 1991 2172 2586 2931 3448 3908 3982 4344 4741 5172 5862 5973 7816 7964 9482 10344 10747 11724 11946 14223 15928 18964 21494 23448 23892 28446 32241 37928 42988 47784 56892 64482 78011 85976 113784 128964 156022 176837 234033 257928 312044 353674 421087 468066 530511 624088 707348 842174 858121 936132 1061022 1263261 1414696 1684348 1716242 1872264 1945207 2122044 2526522 2574363 3368696 3432484 3890414 4244088 4631957 5053044 5148726 5835621 6864968 7780828 9263914 10106088 10297452 11671242 13895871 15561656 18527828 20594904 23342484 27791742 37055656 46684968 55583484 76216747 111166968 152433494 228650241 304866988 457300482 609733976 838384217 914600964 1676768434 1829201928 2515152651 3353536868 5030305302 6707073736 10060610604 20121221208