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1211211201312 = 253271015948507
BaseRepresentation
bin10001101000000001110…
…100000011101100100000
311021210100101120010221200
4101220001310003230200
5124321030031420222
62324231151321200
7153335641225110
oct21500164035440
94253311503850
101211211201312
11427743168622
121768a8220200
138a2a81bbc38
14428a1495040
152178e097eac
hex11a01d03b20

1211211201312 has 144 divisors (see below), whose sum is σ = 3975411690432. Its totient is φ = 342633945600.

The previous prime is 1211211201289. The next prime is 1211211201337. The reversal of 1211211201312 is 2131021121121.

It is a happy number.

1211211201312 is a `hidden beast` number, since 1 + 211 + 21 + 120 + 1 + 312 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2770638 + ... + 3177869.

It is an arithmetic number, because the mean of its divisors is an integer number (27607025628).

Almost surely, 21211211201312 is an apocalyptic number.

1211211201312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1211211201312 is an abundant number, since it is smaller than the sum of its proper divisors (2764200489120).

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

1211211201312 is a wasteful number, since it uses less digits than its factorization.

1211211201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5948631 (or 5948620 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1211211201312 its reverse (2131021121121), we get a palindrome (3342232322433).

The spelling of 1211211201312 in words is "one trillion, two hundred eleven billion, two hundred eleven million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 101 112 126 144 168 202 224 252 288 303 336 404 504 606 672 707 808 909 1008 1212 1414 1616 1818 2016 2121 2424 2828 3232 3636 4242 4848 5656 6363 7272 8484 9696 11312 12726 14544 16968 22624 25452 29088 33936 50904 67872 101808 203616 5948507 11897014 17845521 23794028 35691042 41639549 47588056 53536563 71382084 83279098 95176112 107073126 124918647 142764168 166558196 190352224 214146252 249837294 285528336 333116392 374755941 428292504 499674588 571056672 600799207 666232784 749511882 856585008 999349176 1201598414 1332465568 1499023764 1713170016 1802397621 1998698352 2403196828 2998047528 3604795242 3997396704 4205594449 4806393656 5407192863 5996095056 7209590484 8411188898 9612787312 10814385726 11992190112 12616783347 14419180968 16822377796 19225574624 21628771452 25233566694 28838361936 33644755592 37850350041 43257542904 50467133388 57676723872 67289511184 75700700082 86515085808 100934266776 134579022368 151401400164 173030171616 201868533552 302802800328 403737067104 605605600656 1211211201312