Search a number
-
+
12020010101121 = 3111791923314519
BaseRepresentation
bin1010111011101010000001…
…1011101010100110000001
31120120002202011121120011210
42232322200123222212001
53033413440041213441
641321525540000333
72350263025036521
oct256724033524601
946502664546153
1012020010101121
113914726382a60
1214216850900a9
136926361c30c9
142d7ab3373681
1515ca049d4616
hexaeea06ea981

12020010101121 has 32 divisors (see below), whose sum is σ = 18532245657600. Its totient is φ = 6848872807680.

The previous prime is 12020010101093. The next prime is 12020010101129. The reversal of 12020010101121 is 12110101002021.

It is not a de Polignac number, because 12020010101121 - 210 = 12020010100097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12020010101097 and 12020010101106.

It is not an unprimeable number, because it can be changed into a prime (12020010101129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11141701 + ... + 12172818.

It is an arithmetic number, because the mean of its divisors is an integer number (579132676800).

Almost surely, 212020010101121 is an apocalyptic number.

12020010101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12020010101121 is a deficient number, since it is larger than the sum of its proper divisors (6512235556479).

12020010101121 is a wasteful number, since it uses less digits than its factorization.

12020010101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23315469.

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

Adding to 12020010101121 its reverse (12110101002021), we get a palindrome (24130111103142).

The spelling of 12020010101121 in words is "twelve trillion, twenty billion, ten million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 11 17 33 51 187 561 919 2757 10109 15623 30327 46869 171853 515559 23314519 69943557 256459709 396346823 769379127 1189040469 4359815053 13079445159 21426042961 64278128883 235686472571 364242730337 707059417713 1092728191011 4006670033707 12020010101121