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12332104620 = 22351127323269
BaseRepresentation
bin10110111110000110…
…01111101110101100
31011211110000211020120
423133003033232230
5200224004321440
65355411444540
7614413105533
oct133703175654
934743024216
1012332104620
115259173800
122481bb6750
131216bc3534
1484db8b31a
154c29c1dd0
hex2df0cfbac

12332104620 has 144 divisors (see below), whose sum is σ = 38475921120. Its totient is φ = 2948520960.

The previous prime is 12332104619. The next prime is 12332104627. The reversal of 12332104620 is 2640123321.

It is not an unprimeable number, because it can be changed into a prime (12332104627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518346 + ... + 541614.

Almost surely, 212332104620 is an apocalyptic number.

12332104620 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 12332104620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19237960560).

12332104620 is an abundant number, since it is smaller than the sum of its proper divisors (26143816500).

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

12332104620 is a wasteful number, since it uses less digits than its factorization.

12332104620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23376 (or 23363 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12332104620 its reverse (2640123321), we get a palindrome (14972227941).

The spelling of 12332104620 in words is "twelve billion, three hundred thirty-two million, one hundred four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 73 110 121 132 146 165 219 220 242 292 330 363 365 438 484 605 660 726 730 803 876 1095 1210 1452 1460 1606 1815 2190 2409 2420 3212 3630 4015 4380 4818 7260 8030 8833 9636 12045 16060 17666 23269 24090 26499 35332 44165 46538 48180 52998 69807 88330 93076 105996 116345 132495 139614 176660 232690 255959 264990 279228 349035 465380 511918 529980 698070 767877 1023836 1279795 1396140 1535754 1698637 2559590 2815549 3071508 3397274 3839385 5095911 5119180 5631098 6794548 7678770 8446647 8493185 10191822 11262196 14077745 15357540 16893294 16986370 18685007 20383644 25479555 28155490 33786588 33972740 37370014 42233235 50959110 56055021 56310980 74740028 84466470 93425035 101918220 112110042 168932940 186850070 205535077 224220084 280275105 373700140 411070154 560550210 616605231 822140308 1027675385 1121100420 1233210462 2055350770 2466420924 3083026155 4110701540 6166052310 12332104620