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110120221012122 = 232292056331025897
BaseRepresentation
bin11001000010011101011100…
…101001111111000010011010
3112102220101112112120222020200
4121002131130221333002122
5103413202203034341442
61030112310421203030
732123631506332266
oct3102353451770232
9472811475528220
10110120221012122
11320a67a5a29a62
1210426053260476
13495a3a51bbb19
141d29bc07790a6
15cae72dcc334c
hex64275ca7f09a

110120221012122 has 48 divisors (see below), whose sum is σ = 246822625918440. Its totient is φ = 35440783773696.

The previous prime is 110120221012121. The next prime is 110120221012127. The reversal of 110120221012122 is 221210122021011.

110120221012122 is a `hidden beast` number, since 110 + 1 + 202 + 210 + 121 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52910043097041 + 57210177915081 = 7273929^2 + 7563741^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 110120221012095 and 110120221012104.

It is not an unprimeable number, because it can be changed into a prime (110120221012121) 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, 106827478 + ... + 107853374.

Almost surely, 2110120221012122 is an apocalyptic number.

110120221012122 is an abundant number, since it is smaller than the sum of its proper divisors (136702404906318).

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

110120221012122 is a wasteful number, since it uses less digits than its factorization.

110120221012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231567 (or 1231564 counting only the distinct ones).

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

Adding to 110120221012122 its reverse (221210122021011), we get a palindrome (331330343033133).

The spelling of 110120221012122 in words is "one hundred ten trillion, one hundred twenty billion, two hundred twenty-one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 205633 411266 616899 1025897 1233798 1850697 2051794 3077691 3701394 5963357 6155382 9233073 11926714 17890071 18466146 29751013 35780142 53670213 59502026 89253039 107340426 178506078 267759117 535518234 210958277801 421916555602 632874833403 1265749666806 1898624500209 3797249000418 6117790056229 12235580112458 18353370168687 36706740337374 55060110506061 110120221012122