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1201012000122 = 23111013734091181
BaseRepresentation
bin10001011110100001111…
…001001100010101111010
311020211000120222001011110
4101132201321030111322
5124134133033000442
62315423131141150
7152525124363504
oct21364171142572
94224016861143
101201012000122
11423389a66830
121749205a47b6
1389341166c4c
14421b4abad74
152139398c69c
hex117a1e4c57a

1201012000122 has 128 divisors (see below), whose sum is σ = 2662168861440. Its totient is φ = 358191360000.

The previous prime is 1201012000109. The next prime is 1201012000169. The reversal of 1201012000122 is 2210002101021.

It is a junction number, because it is equal to n+sod(n) for n = 1201012000098 and 1201012000107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1016944372 + ... + 1016945552.

It is an arithmetic number, because the mean of its divisors is an integer number (20798194230).

Almost surely, 21201012000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201012000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331084430720).

1201012000122 is an abundant number, since it is smaller than the sum of its proper divisors (1461156861318).

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

1201012000122 is a wasteful number, since it uses less digits than its factorization.

1201012000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1201012000122 its reverse (2210002101021), we get a palindrome (3411014101143).

The spelling of 1201012000122 in words is "one trillion, two hundred one billion, twelve million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 101 202 303 373 409 606 746 818 1111 1119 1181 1227 2222 2238 2362 2454 3333 3543 4103 4499 6666 7086 8206 8998 12309 12991 13497 24618 25982 26994 37673 38973 41309 75346 77946 82618 113019 119281 123927 152557 226038 238562 247854 305114 357843 414403 440513 454399 457671 483029 715686 828806 881026 908798 915342 966058 1243209 1312091 1321539 1363197 1449087 1678127 2486418 2624182 2643078 2726394 2898174 3356254 3936273 4845643 5034381 5313319 7872546 9691286 10068762 10626638 14536929 15408257 15939957 29073858 30816514 31879914 44491813 46224771 48785929 88983626 92449542 97571858 133475439 146357787 169490827 180169817 266950878 292715574 338981654 360339634 489409943 508472481 536645219 540509451 978819886 1016944962 1073290438 1081018902 1468229829 1609935657 1981867987 2936459658 3219871314 3963735974 5945603961 11891207922 18197151517 36394303034 54591454551 109182909102 200168666687 400337333374 600506000061 1201012000122