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122120201220 = 223553223717167
BaseRepresentation
bin111000110111011101…
…1100110010000000100
3102200012202200222210120
41301232323212100010
54000100232414340
6132033511421540
711552152404033
oct1615673462004
9380182628716
10122120201220
1147877740736
121b8019848b0
13b6925290c4
145ca6b7071a
15329b1ad4d0
hex1c6eee6404

122120201220 has 96 divisors (see below), whose sum is σ = 348564238848. Its totient is φ = 31934802432.

The previous prime is 122120201207. The next prime is 122120201239. The reversal of 122120201220 is 22102021221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122120201220.

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, 7105077 + ... + 7122243.

It is an arithmetic number, because the mean of its divisors is an integer number (3630877488).

Almost surely, 2122120201220 is an apocalyptic number.

122120201220 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 122120201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174282119424).

122120201220 is an abundant number, since it is smaller than the sum of its proper divisors (226444037628).

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

122120201220 is a wasteful number, since it uses less digits than its factorization.

122120201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19469 (or 19467 counting only the distinct ones).

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

Adding to 122120201220 its reverse (22102021221), we get a palindrome (144222222441).

The spelling of 122120201220 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 2237 3180 4474 6711 8948 11185 13422 17167 22370 26844 33555 34334 44740 51501 67110 68668 85835 103002 118561 134220 171670 206004 237122 257505 343340 355683 474244 515010 592805 711366 909851 1030020 1185610 1422732 1778415 1819702 2371220 2729553 3556830 3639404 4549255 5459106 7113660 9098510 10918212 13647765 18197020 27295530 38402579 54591060 76805158 115207737 153610316 192012895 230415474 384025790 460830948 576038685 768051580 1152077370 2035336687 2304154740 4070673374 6106010061 8141346748 10176683435 12212020122 20353366870 24424040244 30530050305 40706733740 61060100610 122120201220