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1221538067620 = 2251313765352517
BaseRepresentation
bin10001110001101001010…
…101111011010010100100
311022210000002101022100121
4101301221111323102210
5130003202221130440
62333100012051324
7154152565154053
oct21615125732244
94283002338317
101221538067620
11431062437082
121788aa763b44
138b262822a10
14431a0bc239a
1521b959c034a
hex11c6957b4a4

1221538067620 has 96 divisors (see below), whose sum is σ = 2787034467168. Its totient is φ = 447043080192.

The previous prime is 1221538067611. The next prime is 1221538067639. The reversal of 1221538067620 is 267608351221.

It can be written as a sum of positive squares in 16 ways, for example, as 611489592484 + 610048475136 = 781978^2 + 781056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23233602 + ... + 23286118.

It is an arithmetic number, because the mean of its divisors is an integer number (29031609033).

Almost surely, 21221538067620 is an apocalyptic number.

1221538067620 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 1221538067620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393517233584).

1221538067620 is an abundant number, since it is smaller than the sum of its proper divisors (1565496399548).

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

1221538067620 is a wasteful number, since it uses less digits than its factorization.

1221538067620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53329 (or 53327 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 1221538067620 in words is "one trillion, two hundred twenty-one billion, five hundred thirty-eight million, sixty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 548 653 685 1306 1370 1781 2612 2740 3265 3562 6530 7124 8489 8905 13060 16978 17810 33956 35620 42445 52517 84890 89461 105034 169780 178922 210068 262585 357844 447305 525170 682721 894610 1050340 1162993 1365442 1789220 2325986 2730884 3413605 4651972 5814965 6827210 7194829 11629930 13654420 14389658 23259860 28779316 34293601 35974145 68587202 71948290 93532777 137174404 143896580 171468005 187065554 342936010 374131108 445816813 467663885 685872020 891633626 935327770 1783267252 1870655540 2229084065 4458168130 4698223337 8916336260 9396446674 18792893348 23491116685 46982233370 61076903381 93964466740 122153806762 244307613524 305384516905 610769033810 1221538067620