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220212100122000 = 2435375243145241
BaseRepresentation
bin110010000100100000100000…
…000000001100010110010000
31001212201001220212220010122020
4302010200200000030112100
5212330423340112401000
62100204013041211440
764245541061541150
oct6204404000142620
91055631825803566
10220212100122000
1164191477668308
12208466b6930b80
1395b4bb16b078c
143c54472da4760
151a6d34e7e5ba0
hexc8482000c590

220212100122000 has 160 divisors (see below), whose sum is σ = 811387212489984. Its totient is φ = 50334194304000.

The previous prime is 220212100121983. The next prime is 220212100122031. The reversal of 220212100122000 is 221001212022.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2621530621 + ... + 2621614620.

Almost surely, 2220212100122000 is an apocalyptic number.

220212100122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212100122000 is an abundant number, since it is smaller than the sum of its proper divisors (591175112367984).

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

220212100122000 is a wasteful number, since it uses less digits than its factorization.

220212100122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5243145274 (or 5243145258 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220212100122000 its reverse (221001212022), we get a palindrome (220433101334022).

The spelling of 220212100122000 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 5243145241 10486290482 15729435723 20972580964 26215726205 31458871446 36702016687 41945161928 52431452410 62917742892 73404033374 78647178615 83890323856 104862904820 110106050061 125835485784 131078631025 146808066748 157294357230 183510083435 209725809640 220212100122 251670971568 262157262050 293616133496 314588714460 367020166870 393235893075 419451619280 440424200244 524314524100 550530250305 587232266992 629177428920 655393155125 734040333740 786471786150 880848400488 917550417175 1048629048200 1101060500610 1258354857840 1310786310250 1468080667480 1572943572300 1761696800976 1835100834350 1966179465375 2097258096400 2202121001220 2621572620500 2752651251525 2936161334960 3145887144600 3670201668700 3932358930750 4404242002440 4587752085875 5243145241000 5505302503050 6291774289200 7340403337400 7864717861500 8808484004880 9175504171750 10486290482000 11010605006100 13763256257625 14680806674800 15729435723000 18351008343500 22021210012200 27526512515250 31458871446000 36702016687000 44042420024400 55053025030500 73404033374000 110106050061000 220212100122000