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12022201040064 = 263535297223037
BaseRepresentation
bin1010111011110010001100…
…0001011011110011000000
31120120022101212020210101120
42232330203001123303000
53033432431431240224
641322531203232240
72350401230516565
oct256744301336300
946508355223346
1012022201040064
1139156500838a6
121421b96978680
136928c50a1397
142d7c4033286c
1515cad2011779
hexaef2305bcc0

12022201040064 has 112 divisors (see below), whose sum is σ = 32415168847968. Its totient is φ = 3931029127168.

The previous prime is 12022201040063. The next prime is 12022201040099. The reversal of 12022201040064 is 46004010222021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12022201040063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53790754 + ... + 54013790.

Almost surely, 212022201040064 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 12022201040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16207584423984).

12022201040064 is an abundant number, since it is smaller than the sum of its proper divisors (20392967807904).

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

12022201040064 is a wasteful number, since it uses less digits than its factorization.

12022201040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228402 (or 228392 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12022201040064 its reverse (46004010222021), we get a palindrome (58026211262085).

The spelling of 12022201040064 in words is "twelve trillion, twenty-two billion, two hundred one million, forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2544 3392 5088 5297 10176 10594 15891 21188 31782 42376 63564 84752 127128 169504 223037 254256 280741 339008 446074 508512 561482 669111 842223 892148 1017024 1122964 1338222 1684446 1784296 2245928 2676444 3368892 3568592 4491856 5352888 6737784 7137184 8983712 10705776 11820961 13475568 14274368 17967424 21411552 23641922 26951136 35462883 42823104 47283844 53902272 70925766 94567688 141851532 189135376 283703064 378270752 567406128 756541504 1134812256 1181426989 2269624512 2362853978 3544280967 4725707956 7088561934 9451415912 14177123868 18902831824 28354247736 37805663648 56708495472 62615630417 75611327296 113416990944 125231260834 187846891251 226833981888 250462521668 375693782502 500925043336 751387565004 1001850086672 1502775130008 2003700173344 3005550260016 4007400346688 6011100520032 12022201040064