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12210130033032 = 23353167277207509
BaseRepresentation
bin1011000110101110010001…
…1101101001100110001000
31121020021110221210210012110
42301223210131221212020
53100022321242024112
641545131205542320
72400103255560351
oct261534435514610
947207427723173
1012210130033032
1139883180a4828
1214524a3a149a0
136a7544626a39
14302d8b1d0d28
1516293088b13c
hexb1ae4769988

12210130033032 has 128 divisors (see below), whose sum is σ = 31400612409600. Its totient is φ = 3954989595648.

The previous prime is 12210130033001. The next prime is 12210130033033. The reversal of 12210130033032 is 23033003101221.

It is a super-2 number, since 2×122101300330322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12210130033033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58737694 + ... + 58945202.

It is an arithmetic number, because the mean of its divisors is an integer number (245317284450).

Almost surely, 212210130033032 is an apocalyptic number.

12210130033032 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 12210130033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700306204800).

12210130033032 is an abundant number, since it is smaller than the sum of its proper divisors (19190482376568).

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

12210130033032 is a wasteful number, since it uses less digits than its factorization.

12210130033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208015 (or 208011 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12210130033032 its reverse (23033003101221), we get a palindrome (35243133134253).

The spelling of 12210130033032 in words is "twelve trillion, two hundred ten billion, one hundred thirty million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 167 212 277 318 334 424 501 554 636 668 831 1002 1108 1272 1336 1662 2004 2216 3324 4008 6648 8851 14681 17702 26553 29362 35404 44043 46259 53106 58724 70808 88086 92518 106212 117448 138777 176172 185036 207509 212424 277554 352344 370072 415018 555108 622527 830036 1110216 1245054 1660072 2451727 2490108 4903454 4980216 7355181 9806908 10997977 14710362 19613816 21995954 29420724 32993931 34654003 43991908 57479993 58841448 65987862 69308006 87983816 103962009 114959986 131975724 138616012 172439979 207924018 229919972 263951448 277232024 344879958 415848036 459839944 689759916 831696072 1379519832 1836662159 3046439629 3673324318 5509986477 6092879258 7346648636 9139318887 9599158831 11019972954 12185758516 14693297272 18278637774 19198317662 22039945908 24371517032 28797476493 36557275548 38396635324 44079891816 57594952986 73114551096 76793270648 115189905972 230379811944 508755418043 1017510836086 1526266254129 2035021672172 3052532508258 4070043344344 6105065016516 12210130033032