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12022133221032 = 23311591693455899
BaseRepresentation
bin1010111011110001111011…
…1110101110011010101000
31120120022020010122020011120
42232330132332232122220
53033432312101033112
641322520341455240
72350366445205504
oct256743676563250
946508203566146
1012022133221032
113915615872410
121421b78111520
136928b401748c
142d7c3531b304
1515cacb0b6e8c
hexaef1efae6a8

12022133221032 has 128 divisors (see below), whose sum is σ = 33363126720000. Its totient is φ = 3579200490240.

The previous prime is 12022133220997. The next prime is 12022133221081. The reversal of 12022133221032 is 23012233122021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12022133220993 and 12022133221011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26142219 + ... + 26598117.

It is an arithmetic number, because the mean of its divisors is an integer number (260649427500).

Almost surely, 212022133221032 is an apocalyptic number.

12022133221032 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 12022133221032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16681563360000).

12022133221032 is an abundant number, since it is smaller than the sum of its proper divisors (21340993498968).

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

12022133221032 is a wasteful number, since it uses less digits than its factorization.

12022133221032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457671 (or 457667 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12022133221032 its reverse (23012233122021), we get a palindrome (35034366343053).

The spelling of 12022133221032 in words is "twelve trillion, twenty-two billion, one hundred thirty-three million, two hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 649 708 1298 1416 1693 1947 2596 3386 3894 5079 5192 6772 7788 10158 13544 15576 18623 20316 37246 40632 55869 74492 99887 111738 148984 199774 223476 299661 399548 446952 455899 599322 799096 911798 1098757 1198644 1367697 1823596 2197514 2397288 2735394 3296271 3647192 4395028 5014889 5470788 6592542 8790056 10029778 10941576 13185084 15044667 20059556 26370168 26898041 30089334 40119112 53796082 60178668 80694123 107592164 120357336 161388246 215184328 295878451 322776492 591756902 645552984 771837007 887635353 1183513804 1543674014 1775270706 2315511021 2367027608 3087348028 3550541412 4631022042 6174696056 7101082824 8490207077 9262044084 16980414154 18524088168 25470621231 33960828308 45538383413 50941242462 67921656616 91076766826 101882484924 136615150239 182153533652 203764969848 273230300478 364307067304 500922217543 546460600956 1001844435086 1092921201912 1502766652629 2003688870172 3005533305258 4007377740344 6011066610516 12022133221032