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121636447812 = 22321117911811453
BaseRepresentation
bin111000101001000011…
…0001110011001000100
3102121222001102202212200
41301102012032121010
53443102412312222
6131513511114500
711534156514165
oct1612206163104
9377861382780
10121636447812
1147649670630
121b6a7972a30
13b616241b99
145c5c80776c
15326d9a3eac
hex1c5218e644

121636447812 has 144 divisors (see below), whose sum is σ = 337813519680. Its totient is φ = 36597369600.

The previous prime is 121636447799. The next prime is 121636447817. The reversal of 121636447812 is 218744636121.

121636447812 is a `hidden beast` number, since 1 + 2 + 1 + 636 + 4 + 4 + 7 + 8 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (121636447817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83713278 + ... + 83714730.

It is an arithmetic number, because the mean of its divisors is an integer number (2345927220).

Almost surely, 2121636447812 is an apocalyptic number.

121636447812 is a gapful number since it is divisible by the number (12) 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 121636447812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168906759840).

121636447812 is an abundant number, since it is smaller than the sum of its proper divisors (216177071868).

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

121636447812 is a wasteful number, since it uses less digits than its factorization.

121636447812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2829 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 121636447812 in words is "one hundred twenty-one billion, six hundred thirty-six million, four hundred forty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 179 198 358 396 537 716 1074 1181 1453 1611 1969 2148 2362 2906 3222 3543 3938 4359 4724 5812 5907 6444 7086 7876 8718 10629 11814 12991 13077 14172 15983 17436 17721 21258 23628 25982 26154 31966 35442 38973 42516 47949 51964 52308 63932 70884 77946 95898 116919 143847 155892 191796 211399 233838 260087 287694 422798 467676 520174 575388 634197 780261 845596 1040348 1268394 1560522 1715993 1902591 2325389 2340783 2536788 2860957 3121044 3431986 3805182 4650778 4681566 5147979 5721914 6863972 6976167 7610364 8582871 9301556 9363132 10295958 11443828 13952334 15443937 17165742 18875923 20591916 20928501 25748613 27904668 30887874 34331484 37751846 41857002 51497226 56627769 61775748 75503692 83714004 102994452 113255538 169883307 226511076 307162747 339766614 614325494 679533228 921488241 1228650988 1842976482 2764464723 3378790217 3685952964 5528929446 6757580434 10136370651 11057858892 13515160868 20272741302 30409111953 40545482604 60818223906 121636447812