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121140241411012 = 2229372762828653
BaseRepresentation
bin11011100010110100101001…
…000011101010101111000100
3120212220220010201011021211021
4123202310221003222233010
5111334230203300123022
61105351020355320524
734342044053232535
oct3342645103525704
9525826121137737
10121140241411012
113566531917a97a
12117059598b0144
1352796252b0645
1421cb30cbc668c
15e01207dc77c7
hex6e2d290eabc4

121140241411012 has 36 divisors (see below), whose sum is σ = 225392982397380. Its totient is φ = 56900914809984.

The previous prime is 121140241411009. The next prime is 121140241411031. The reversal of 121140241411012 is 210114142041121.

It can be written as a sum of positive squares in 6 ways, for example, as 2158918894276 + 118981322516736 = 1469326^2 + 10907856^2 .

It is a super-3 number, since 3×1211402414110123 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381255523 + ... + 381573130.

It is an arithmetic number, because the mean of its divisors is an integer number (6260916177705).

Almost surely, 2121140241411012 is an apocalyptic number.

It is an amenable number.

121140241411012 is a deficient number, since it is larger than the sum of its proper divisors (104252740986368).

121140241411012 is a wasteful number, since it uses less digits than its factorization.

121140241411012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762828760 (or 762828721 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

Adding to 121140241411012 its reverse (210114142041121), we get a palindrome (331254383452133).

The spelling of 121140241411012 in words is "one hundred twenty-one trillion, one hundred forty billion, two hundred forty-one million, four hundred eleven thousand, twelve".

Divisors: 1 2 4 29 37 58 74 116 148 1073 1369 2146 2738 4292 5476 39701 79402 158804 762828653 1525657306 3051314612 22122030937 28224660161 44244061874 56449320322 88488123748 112898640644 818515144669 1044312425957 1637030289338 2088624851914 3274060578676 4177249703828 30285060352753 60570120705506 121140241411012