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12033120220 = 22511232982003
BaseRepresentation
bin10110011010011101…
…01101011111011100
31011001121102211202021
423031032231133130
5144120434321340
65310011305524
7604122556102
oct131516553734
934047384667
1012033120220
115115423360
1223b9a4b2a4
131199c8caa4
1482219dc72
154a6613e4a
hex2cd3ad7dc

12033120220 has 96 divisors (see below), whose sum is σ = 29757611520. Its totient is φ = 4041058560.

The previous prime is 12033120173. The next prime is 12033120221. The reversal of 12033120220 is 2202133021.

It is a junction number, because it is equal to n+sod(n) for n = 12033120194 and 12033120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033120221) 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, 105739 + ... + 187741.

It is an arithmetic number, because the mean of its divisors is an integer number (309975120).

Almost surely, 212033120220 is an apocalyptic number.

12033120220 is a gapful number since it is divisible by the number (10) 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 12033120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878805760).

12033120220 is an abundant number, since it is smaller than the sum of its proper divisors (17724491300).

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

12033120220 is a wasteful number, since it uses less digits than its factorization.

12033120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82075 (or 82073 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12033120220 its reverse (2202133021), we get a palindrome (14235253241).

The spelling of 12033120220 in words is "twelve billion, thirty-three million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 220 230 253 290 319 460 506 580 638 667 1012 1265 1276 1334 1595 2530 2668 3190 3335 5060 6380 6670 7337 13340 14674 29348 36685 73370 82003 146740 164006 328012 410015 820030 902033 1640060 1804066 1886069 2378087 3608132 3772138 4510165 4756174 7544276 9020330 9430345 9512348 11890435 18040660 18860690 20746759 23780870 26158957 37721380 41493518 47561740 52317914 54696001 82987036 103733795 104635828 109392002 130794785 207467590 218784004 261589570 273480005 414935180 523179140 546960010 601656011 1093920020 1203312022 2406624044 3008280055 6016560110 12033120220