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121011111111121 = 71131731375069083
BaseRepresentation
bin11011100000111100011000…
…010010101010100111010001
3120212110112211101201101110121
4123200330120102222213101
5111330121223421023441
61105211423105030241
734326523066626160
oct3340743022524721
9525415741641417
10121011111111121
1135615584518370
12116a4920325381
13526a3b6653b7a
1421c4d7d02b3d7
15decb9b5a7dd1
hex6e0f184aa9d1

121011111111121 has 64 divisors (see below), whose sum is σ = 159023572402176. Its totient is φ = 89345611699200.

The previous prime is 121011111111091. The next prime is 121011111111223. The reversal of 121011111111121 is 121111111110121.

It is a cyclic number.

It is not a de Polignac number, because 121011111111121 - 25 = 121011111111089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121011111111095 and 121011111111104.

It is not an unprimeable number, because it can be changed into a prime (121011111111721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21337846 + ... + 26406928.

It is an arithmetic number, because the mean of its divisors is an integer number (2484743318784).

Almost surely, 2121011111111121 is an apocalyptic number.

121011111111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121011111111121 is a deficient number, since it is larger than the sum of its proper divisors (38012461291055).

121011111111121 is a wasteful number, since it uses less digits than its factorization.

121011111111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069342.

The product of its (nonzero) digits is 4, while the sum is 16.

Adding to 121011111111121 its reverse (121111111110121), we get a palindrome (242122222221242).

The spelling of 121011111111121 in words is "one hundred twenty-one trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 7 11 31 73 77 137 217 341 511 803 959 1507 2263 2387 4247 5621 10001 10549 15841 24893 29729 46717 70007 110011 174251 310031 327019 770077 2170217 3410341 5069083 23872387 35483581 55759913 157141573 370043059 390319391 694464371 1099991011 1728557303 2590301413 4070473649 4861250597 7639108081 11471334829 12099901121 21528395501 28493315543 50695899083 53473756567 80299343803 126184683119 150698768507 236812350511 354871293581 557654889913 883292781833 1571572871573 1657686453577 3903584229391 11001010101011 17287301587303 121011111111121