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122121011012122 = 2174618818843713
BaseRepresentation
bin11011110001000110000011…
…011110110010001000011010
3121000101122200020012020022101
4123301012003132302020122
5112001312312304341442
61111421341251514014
734502644332261643
oct3361060336621032
9530348606166271
10122121011012122
1135a03259034521
1211843a535b890a
13531ac6746ca15
14222298d23c6ca
15e1b9ab242cb7
hex6f11837b221a

122121011012122 has 32 divisors (see below), whose sum is σ = 194598285601104. Its totient is φ = 57278953881600.

The previous prime is 122121011012081. The next prime is 122121011012129. The reversal of 122121011012122 is 221210110121221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13826788596721 + 108294222415401 = 3718439^2 + 10406451^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122121011012122.

It is not an unprimeable number, because it can be changed into a prime (122121011012129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9386938 + ... + 18230650.

Almost surely, 2122121011012122 is an apocalyptic number.

122121011012122 is a deficient number, since it is larger than the sum of its proper divisors (72477274588982).

122121011012122 is a wasteful number, since it uses less digits than its factorization.

122121011012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8845074.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122121011012122 its reverse (221210110121221), we get a palindrome (343331121133343).

The spelling of 122121011012122 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, eleven million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 17 34 461 881 922 1762 7837 14977 15674 29954 406141 812282 6904397 8843713 13808794 17687426 150343121 300686242 4076951693 7791311153 8153903386 15582622306 69308178781 132452289601 138616357562 264904579202 3591794441533 7183588883066 61060505506061 122121011012122