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1223070979680 = 253251177214077
BaseRepresentation
bin10001110011000100101…
…101100001011001100000
311022220221220211022101100
4101303010231201121200
5130014322132322210
62333512051434400
7154235560536324
oct21630455413140
94286856738340
101223070979680
11431779756650
12179057bb5a00
138b448299584
14432a8611984
1521c3536b5c0
hex11cc4b61660

1223070979680 has 144 divisors (see below), whose sum is σ = 4553159751504. Its totient is φ = 296502051840.

The previous prime is 1223070979667. The next prime is 1223070979681. The reversal of 1223070979680 is 869790703221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223070979681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38591199 + ... + 38622878.

It is an arithmetic number, because the mean of its divisors is an integer number (31619164941).

Almost surely, 21223070979680 is an apocalyptic number.

1223070979680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223070979680 is an abundant number, since it is smaller than the sum of its proper divisors (3330088771824).

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

1223070979680 is a wasteful number, since it uses less digits than its factorization.

1223070979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77214109 (or 77214098 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1223070979680 in words is "one trillion, two hundred twenty-three billion, seventy million, nine hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 77214077 154428154 231642231 308856308 386070385 463284462 617712616 694926693 772140770 849354847 926568924 1158211155 1235425232 1389853386 1544281540 1698709694 1853137848 2316422310 2470850464 2548064541 2779706772 3088563080 3397419388 3474633465 3706275696 4246774235 4632844620 5096129082 5559413544 6177126160 6794838776 6949266930 7412551392 7644193623 8493548470 9265689240 10192258164 11118827088 12354252320 12740322705 13589677552 13898533860 15288387246 16987096940 18531378480 20384516328 22237654176 25480645410 27179355104 27797067720 30576774492 33974193880 37062756960 38220968115 40769032656 50961290820 55594135440 61153548984 67948387760 76441936230 81538065312 101922581640 111188270880 122307097968 135896775520 152883872460 203845163280 244614195936 305767744920 407690326560 611535489840 1223070979680