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220012012021120 = 2751178739709919
BaseRepresentation
bin110010000001100110001001…
…110100101010010110000000
31001211222221110101211110110021
4302001212021310222112000
5212314134100034133440
62055532042322543224
764225225521001234
oct6201461164522600
91054887411743407
10220012012021120
11641146300a2670
1220813975807b14
13959c075055c07
143c488d130c5c4
151a6803d76c84a
hexc81989d2a580

220012012021120 has 128 divisors (see below), whose sum is σ = 574510415385600. Its totient is φ = 79902708602880.

The previous prime is 220012012021103. The next prime is 220012012021127. The reversal of 220012012021120 is 21120210210022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 220012012021094 and 220012012021103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220012012021127) 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, 14314480 + ... + 25395439.

It is an arithmetic number, because the mean of its divisors is an integer number (4488362620200).

Almost surely, 2220012012021120 is an apocalyptic number.

220012012021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220012012021120 is an abundant number, since it is smaller than the sum of its proper divisors (354498403364480).

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

220012012021120 is a wasteful number, since it uses less digits than its factorization.

220012012021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39710736 (or 39710724 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220012012021120 its reverse (21120210210022), we get a palindrome (241132222231142).

The spelling of 220012012021120 in words is "two hundred twenty trillion, twelve billion, twelve million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 787 880 1408 1574 1760 3148 3520 3935 6296 7040 7870 8657 12592 15740 17314 25184 31480 34628 43285 50368 62960 69256 86570 100736 125920 138512 173140 251840 277024 346280 503680 554048 692560 1108096 1385120 2770240 5540480 39709919 79419838 158839676 198549595 317679352 397099190 436809109 635358704 794198380 873618218 1270717408 1588396760 1747236436 2184045545 2541434816 3176793520 3494472872 4368091090 5082869632 6353587040 6988945744 8736182180 12707174080 13977891488 17472364360 25414348160 27955782976 31251706253 34944728720 55911565952 62503412506 69889457440 125006825012 139778914880 156258531265 250013650024 279557829760 312517062530 343768768783 500027300048 625034125060 687537537566 1000054600096 1250068250120 1375075075132 1718843843915 2000109200192 2500136500240 2750150150264 3437687687830 4000218400384 5000273000480 5500300300528 6875375375660 10000546000960 11000600601056 13750750751320 20001092001920 22001201202112 27501501502640 44002402404224 55003003005280 110006006010560 220012012021120