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12122322432 = 293113719391
BaseRepresentation
bin10110100101000101…
…11111011000000000
31011021211021210011220
423102202333120000
5144311303304212
65322515235040
7606255016623
oct132242773000
934254253156
1012122322432
11516080a2a0
1224238a8a80
1311b25c286c
1482dd7ddba
154ae38438c
hex2d28bf600

12122322432 has 160 divisors (see below), whose sum is σ = 36184541184. Its totient is φ = 3573964800.

The previous prime is 12122322389. The next prime is 12122322439. The reversal of 12122322432 is 23422322121.

It is a super-2 number, since 2×121223224322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122322439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615457 + ... + 634847.

Almost surely, 212122322432 is an apocalyptic number.

12122322432 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 12122322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18092270592).

12122322432 is an abundant number, since it is smaller than the sum of its proper divisors (24062218752).

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

12122322432 is a wasteful number, since it uses less digits than its factorization.

12122322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19460 (or 19444 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

Adding to 12122322432 its reverse (23422322121), we get a palindrome (35544644553).

The spelling of 12122322432 in words is "twelve billion, one hundred twenty-two million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 384 407 444 512 528 592 704 768 814 888 1056 1184 1221 1408 1536 1628 1776 2112 2368 2442 2816 3256 3552 4224 4736 4884 5632 6512 7104 8448 9472 9768 13024 14208 16896 18944 19391 19536 26048 28416 38782 39072 52096 56832 58173 77564 78144 104192 116346 155128 156288 208384 213301 232692 310256 312576 426602 465384 620512 625152 639903 717467 853204 930768 1241024 1279806 1434934 1706408 1861536 2152401 2482048 2559612 2869868 3412816 3723072 4304802 4964096 5119224 5739736 6825632 7446144 7892137 8609604 9928192 10238448 11479472 13651264 14892288 15784274 17219208 20476896 22958944 23676411 27302528 29784576 31568548 34438416 40953792 45917888 47352822 54605056 63137096 68876832 81907584 91835776 94705644 109210112 126274192 137753664 163815168 183671552 189411288 252548384 275507328 327630336 367343104 378822576 505096768 551014656 757645152 1010193536 1102029312 1515290304 2020387072 3030580608 4040774144 6061161216 12122322432