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12132133020 = 2234571069853
BaseRepresentation
bin10110100110010000…
…11010100010011100
31011022111202012210000
423103020122202130
5144321311224040
65323505414300
7606434300130
oct132310324234
934274665700
1012132133020
115166300117
12242703a390
1311b4649147
148313b53c0
154b0171130
hex2d321a89c

12132133020 has 120 divisors (see below), whose sum is σ = 43495984224. Its totient is φ = 2773056384.

The previous prime is 12132132967. The next prime is 12132133031. The reversal of 12132133020 is 2033123121.

12132133020 is a `hidden beast` number, since 12 + 1 + 321 + 330 + 2 + 0 = 666.

It is a super-2 number, since 2×121321330202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12132132984 and 12132133002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 523587 + ... + 546266.

Almost surely, 212132133020 is an apocalyptic number.

12132133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132133020 is an abundant number, since it is smaller than the sum of its proper divisors (31363851204).

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

12132133020 is a wasteful number, since it uses less digits than its factorization.

12132133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069881 (or 1069870 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12132133020 its reverse (2033123121), we get a palindrome (14165256141).

The spelling of 12132133020 in words is "twelve billion, one hundred thirty-two million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 1069853 2139706 3209559 4279412 5349265 6419118 7488971 9628677 10698530 12838236 14977942 16047795 19257354 21397060 22466913 28886031 29955884 32095590 37444855 38514708 44933826 48143385 57772062 64191180 67400739 74889710 86658093 89867652 96286770 112334565 115544124 134801478 144430155 149779420 173316186 192573540 202202217 224669130 269602956 288860310 337003695 346632372 404404434 433290465 449338260 577720620 606606651 674007390 808808868 866580930 1011011085 1213213302 1348014780 1733161860 2022022170 2426426604 3033033255 4044044340 6066066510 12132133020