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132212331141120 = 2113251434595607
BaseRepresentation
bin11110000011111100010101…
…000010000101100000000000
3122100010101010200100200210200
4132003330111002011200000
5114312131323233003440
61145105301220125200
736564011550140346
oct3603742502054000
9570111120320720
10132212331141120
1139143a3118502a
12129b3776236800
1358a0752a82519
14249117a709996
15104422d37bc30
hex783f15085800

132212331141120 has 144 divisors (see below), whose sum is σ = 458224183151280. Its totient is φ = 35256621613056.

The previous prime is 132212331141119. The next prime is 132212331141133. The reversal of 132212331141120 is 21141133212231.

132212331141120 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 233 + 11 + 411 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 717205644 + ... + 717389963.

It is an arithmetic number, because the mean of its divisors is an integer number (3182112382995).

Almost surely, 2132212331141120 is an apocalyptic number.

132212331141120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132212331141120 is an abundant number, since it is smaller than the sum of its proper divisors (326011852010160).

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

132212331141120 is a wasteful number, since it uses less digits than its factorization.

132212331141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434595640 (or 1434595617 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 132212331141120 its reverse (21141133212231), we get a palindrome (153353464353351).

The spelling of 132212331141120 in words is "one hundred thirty-two trillion, two hundred twelve billion, three hundred thirty-one million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 92160 1434595607 2869191214 4303786821 5738382428 7172978035 8607573642 11476764856 12911360463 14345956070 17215147284 21518934105 22953529712 25822720926 28691912140 34430294568 43037868210 45907059424 51645441852 57383824280 64556802315 68860589136 86075736420 91814118848 103290883704 114767648560 129113604630 137721178272 172151472840 183628237696 206581767408 229535297120 258227209260 275442356544 344302945680 367256475392 413163534816 459070594240 516454418520 550884713088 688605891360 734512950784 826327069632 918141188480 1032908837040 1101769426176 1377211782720 1469025901568 1652654139264 1836282376960 2065817674080 2203538852352 2754423565440 2938051803136 3305308278528 3672564753920 4131635348160 4407077704704 5508847130880 6610616557056 7345129507840 8263270696320 8814155409408 11017694261760 13221233114112 14690259015680 16526541392640 22035388523520 26442466228224 33053082785280 44070777047040 66106165570560 132212331141120