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220012000120 = 2351117238312343
BaseRepresentation
bin1100110011100110111…
…1001011001101111000
3210000220000101121211001
43030321233023031320
512101041033000440
6245023324414344
721616050100453
oct3147157131570
9700800347731
10220012000120
1185341047080
12367816a73b4
1317993338b73
14a911c0c49a
155aca2b0b9a
hex3339bcb378

220012000120 has 128 divisors (see below), whose sum is σ = 572082186240. Its totient is φ = 75260528640.

The previous prime is 220012000099. The next prime is 220012000141. The reversal of 220012000120 is 21000210022.

It is an interprime number because it is at equal distance from previous prime (220012000099) and next prime (220012000141).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220012000097 and 220012000106.

It is a congruent number.

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, 17818669 + ... + 17831011.

It is an arithmetic number, because the mean of its divisors is an integer number (4469392080).

Almost surely, 2220012000120 is an apocalyptic number.

220012000120 is a gapful number since it is divisible by the number (20) 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 220012000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286041093120).

220012000120 is an abundant number, since it is smaller than the sum of its proper divisors (352070186120).

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

220012000120 is a wasteful number, since it uses less digits than its factorization.

220012000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14765 (or 14761 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220012000120 its reverse (21000210022), we get a palindrome (241012210142).

The spelling of 220012000120 in words is "two hundred twenty billion, twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 2383 3740 4766 7480 9532 11915 12343 19064 23830 24686 26213 40511 47660 49372 52426 61715 81022 95320 98744 104852 123430 131065 135773 162044 202555 209704 209831 246860 262130 271546 324088 405110 419662 445621 493720 524260 543092 678865 810220 839324 891242 1048520 1049155 1086184 1357730 1620440 1678648 1782484 2098310 2228105 2308141 2715460 3564968 4196620 4456210 4616282 5430920 8393240 8912420 9232564 11540705 17824840 18465128 23081410 29413369 46162820 58826738 92325640 117653476 147066845 235306952 294133690 323547059 500027273 588267380 647094118 1000054546 1176534760 1294188236 1617735295 2000109092 2500136365 2588376472 3235470590 4000218184 5000272730 5500300003 6470941180 10000545460 11000600006 12941882360 20001090920 22001200012 27501500015 44002400024 55003000030 110006000060 220012000120