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120011222211012 = 223211919329770013
BaseRepresentation
bin11011010010011001001010…
…010001001101100111000100
3120201220221221102100102101100
4123102121022101031213010
5111212230440341223022
61103124221103500100
734164344651332416
oct3322311221154704
9521827842312340
10120011222211012
113526a523285470
1211562b8b5b7630
1351c70183b7212
14218c8076649b6
15dd1b7998a1ac
hex6d264a44d9c4

120011222211012 has 72 divisors (see below), whose sum is σ = 331300146864960. Its totient is φ = 36327464521920.

The previous prime is 120011222210989. The next prime is 120011222211019. The reversal of 120011222211012 is 210112222110021.

120011222211012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120011222211019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164521083 + ... + 165248930.

It is an arithmetic number, because the mean of its divisors is an integer number (4601390928680).

Almost surely, 2120011222211012 is an apocalyptic number.

120011222211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120011222211012 is an abundant number, since it is smaller than the sum of its proper divisors (211288924653948).

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

120011222211012 is a wasteful number, since it uses less digits than its factorization.

120011222211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329770953 (or 329770948 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120011222211012 its reverse (210112222110021), we get a palindrome (330123444321033).

The spelling of 120011222211012 in words is "one hundred twenty trillion, eleven billion, two hundred twenty-two million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 919 1838 2757 3676 5514 8271 10109 11028 16542 20218 30327 33084 40436 60654 90981 121308 181962 363924 329770013 659540026 989310039 1319080052 1978620078 2967930117 3627470143 3957240156 5935860234 7254940286 10882410429 11871720468 14509880572 21764820858 32647231287 43529641716 65294462574 130588925148 303058641947 606117283894 909175925841 1212234567788 1818351851682 2727527777523 3333645061417 3636703703364 5455055555046 6667290122834 10000935184251 10910111110092 13334580245668 20001870368502 30002805552753 40003740737004 60005611105506 120011222211012