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121144222441121 = 1123191313754911
BaseRepresentation
bin11011100010111000010110…
…010110000101111010100001
3120212221021102011011120110212
4123202320112112011322201
5111334311331421103441
61105352515410503505
734342244523360365
oct3342702626057241
9525837364146425
10121144222441121
1135666a81387800
121170668ab94b95
135279b0acbc769
1421cb5a97dd2a5
15e0138c651eeb
hex6e2e16585ea1

121144222441121 has 12 divisors (see below), whose sum is σ = 133200255320832. Its totient is φ = 110096597919000.

The previous prime is 121144222441111. The next prime is 121144222441157.

121144222441121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121144222441121 - 26 = 121144222441057 is a prime.

It is a super-3 number, since 3×1211442224411213 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121144222441111) by changing a digit.

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, 156491345 + ... + 157263566.

It is an arithmetic number, because the mean of its divisors is an integer number (11100021276736).

Almost surely, 2121144222441121 is an apocalyptic number.

121144222441121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121144222441121 is a deficient number, since it is larger than the sum of its proper divisors (12056032879711).

121144222441121 is a wasteful number, since it uses less digits than its factorization.

121144222441121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313758124 (or 313758113 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The spelling of 121144222441121 in words is "one hundred twenty-one trillion, one hundred forty-four billion, two hundred twenty-two million, four hundred forty-one thousand, one hundred twenty-one".

Divisors: 1 11 121 3191 35101 386111 313754911 3451304021 37964344231 1001191921001 11013111131011 121144222441121