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12033020220 = 22351345733757
BaseRepresentation
bin10110011010011100…
…10101000100111100
31011001121020202120120
423031032111010330
5144120423121340
65310005214540
7604121661414
oct131516250474
934047222516
1012033020220
115115365211
1223b9a01450
131199c56410
14822175644
154a65e44d0
hex2cd39513c

12033020220 has 96 divisors (see below), whose sum is σ = 36364657728. Its totient is φ = 2955405312.

The previous prime is 12033020191. The next prime is 12033020221. The reversal of 12033020220 is 2202033021.

12033020220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120330202202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12033020220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033020221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339582 + ... + 373338.

It is an arithmetic number, because the mean of its divisors is an integer number (378798518).

Almost surely, 212033020220 is an apocalyptic number.

12033020220 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 12033020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18182328864).

12033020220 is an abundant number, since it is smaller than the sum of its proper divisors (24331637508).

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

12033020220 is a wasteful number, since it uses less digits than its factorization.

12033020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34239 (or 34237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12033020220 its reverse (2202033021), we get a palindrome (14235053241).

The spelling of 12033020220 in words is "twelve billion, thirty-three million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 457 780 914 1371 1828 2285 2742 4570 5484 5941 6855 9140 11882 13710 17823 23764 27420 29705 33757 35646 59410 67514 71292 89115 101271 118820 135028 168785 178230 202542 337570 356460 405084 438841 506355 675140 877682 1012710 1316523 1755364 2025420 2194205 2633046 4388410 5266092 6582615 8776820 13165230 15426949 26330460 30853898 46280847 61707796 77134745 92561694 154269490 185123388 200550337 231404235 308538980 401100674 462808470 601651011 802201348 925616940 1002751685 1203302022 2005503370 2406604044 3008255055 4011006740 6016510110 12033020220