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122120020202000 = 24531673491047647
BaseRepresentation
bin11011110001000101001000…
…011011001001001000010000
3121000101120010011210212100012
4123301011020123021020100
5112001303300132431000
61111421055055214052
734502610641444462
oct3361051033111020
9530346104725305
10122120020202000
1135a0289a818187
1211843817817328
13531ab3a0cc742
1422228d7804132
15e1b94e279735
hex6f11486c9210

122120020202000 has 160 divisors (see below), whose sum is σ = 297905832806400. Its totient is φ = 48416331302400.

The previous prime is 122120020201987. The next prime is 122120020202123. The reversal of 122120020202000 is 202020021221.

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, 116042177 + ... + 117089823.

It is an arithmetic number, because the mean of its divisors is an integer number (1861911455040).

Almost surely, 2122120020202000 is an apocalyptic number.

122120020202000 is a gapful number since it is divisible by the number (10) 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 122120020202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148952916403200).

122120020202000 is an abundant number, since it is smaller than the sum of its proper divisors (175785812604400).

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

122120020202000 is a wasteful number, since it uses less digits than its factorization.

122120020202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048186 (or 1048170 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122120020202000 its reverse (202020021221), we get a palindrome (122322040223221).

The spelling of 122120020202000 in words is "one hundred twenty-two trillion, one hundred twenty billion, twenty million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 167 200 250 334 349 400 500 668 698 835 1000 1336 1396 1670 1745 2000 2672 2792 3340 3490 4175 5584 6680 6980 8350 8725 13360 13960 16700 17450 20875 27920 33400 34900 41750 43625 58283 66800 69800 83500 87250 116566 139600 167000 174500 233132 291415 334000 349000 466264 582830 698000 932528 1047647 1165660 1457075 2095294 2331320 2914150 4190588 4662640 5238235 5828300 7285375 8381176 10476470 11656600 14570750 16762352 20952940 23313200 26191175 29141500 41905880 52382350 58283000 83811760 104764700 116566000 130955875 174957049 209529400 261911750 349914098 365628803 419058800 523823500 699828196 731257606 874785245 1047647000 1399656392 1462515212 1749570490 1828144015 2095294000 2799312784 2925030424 3499140980 3656288030 4373926225 5850060848 6998281960 7312576060 8747852450 9140720075 13996563920 14625152120 17495704900 18281440150 21869631125 29250304240 34991409800 36562880300 43739262250 45703600375 61060010101 69982819600 73125760600 87478524500 91407200750 122120020202 146251521200 174957049000 182814401500 244240040404 305300050505 349914098000 365628803000 488480080808 610600101010 731257606000 976960161616 1221200202020 1526500252525 2442400404040 3053000505050 4884800808080 6106001010100 7632501262625 12212002020200 15265002525250 24424004040400 30530005050500 61060010101000 122120020202000