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120010111122 = 2311191014672029
BaseRepresentation
bin110111111000100101…
…0001111100010010010
3102110202201012022100110
41233301022033202102
53431240042023442
6131044253102150
711445651053616
oct1576112174222
9373681168313
10120010111122
1146994640820
121b313187956
13b417317695
145b46819346
1531c5d0169c
hex1bf128f892

120010111122 has 128 divisors (see below), whose sum is σ = 279083750400. Its totient is φ = 34021728000.

The previous prime is 120010111079. The next prime is 120010111153. The reversal of 120010111122 is 221111010021.

It is a junction number, because it is equal to n+sod(n) for n = 120010111098 and 120010111107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59146404 + ... + 59148432.

It is an arithmetic number, because the mean of its divisors is an integer number (2180341800).

Almost surely, 2120010111122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120010111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139541875200).

120010111122 is an abundant number, since it is smaller than the sum of its proper divisors (159073639278).

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

120010111122 is a wasteful number, since it uses less digits than its factorization.

120010111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120010111122 its reverse (221111010021), we get a palindrome (341121121143).

It can be divided in two parts, 120010 and 111122, that added together give a palindrome (231132).

The spelling of 120010111122 in words is "one hundred twenty billion, ten million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 101 114 202 209 303 418 467 606 627 934 1111 1254 1401 1919 2029 2222 2802 3333 3838 4058 5137 5757 6087 6666 8873 10274 11514 12174 15411 17746 21109 22319 26619 30822 38551 42218 44638 47167 53238 63327 66957 77102 94334 97603 115653 126654 133914 141501 195206 204929 231306 283002 292809 409858 424061 518837 585618 614787 848122 896173 947543 1037674 1229574 1272183 1556511 1792346 1895086 2254219 2544366 2688519 2842629 3113022 3893651 4508438 5377038 5685258 6762657 7787302 9857903 10422973 11680953 13525314 18003317 19715806 20845946 23361906 29573709 31268919 36006634 42830161 54009951 59147418 62537838 85660322 95701843 108019902 128490483 191403686 198036487 256980966 287105529 396072974 574211058 594109461 1052720273 1188218922 1818335017 2105440546 3158160819 3636670034 5455005051 6316321638 10910010102 20001685187 40003370374 60005055561 120010111122