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121113222311121 = 3377135343979901
BaseRepresentation
bin11011100010011011011110…
…100101111110110011010001
3120212211022101200221210122220
4123202123132211332303101
5111333304334402423441
61105330351330251253
734340066360536545
oct3342333645766321
9525738350853586
10121113222311121
1135654913641257
1211700679126b29
135276c0a673281
1421c9ca8611a25
15e00675d1d466
hex6e26de97ecd1

121113222311121 has 64 divisors (see below), whose sum is σ = 168716475127296. Its totient is φ = 77208671232000.

The previous prime is 121113222311119. The next prime is 121113222311149.

121113222311121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121113222311121 - 21 = 121113222311119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121113222311091 and 121113222311100.

It is not an unprimeable number, because it can be changed into a prime (121113222311161) 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, 12232418271 + ... + 12232428171.

It is an arithmetic number, because the mean of its divisors is an integer number (2636194923864).

Almost surely, 2121113222311121 is an apocalyptic number.

It is an amenable number.

121113222311121 is a deficient number, since it is larger than the sum of its proper divisors (47603252816175).

121113222311121 is a wasteful number, since it uses less digits than its factorization.

121113222311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14762.

The product of its digits is 288, while the sum is 24.

The spelling of 121113222311121 in words is "one hundred twenty-one trillion, one hundred thirteen billion, two hundred twenty-two million, three hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 37 71 111 213 353 1059 2627 4397 7881 9901 13061 13191 25063 29703 39183 75189 162689 312187 366337 488067 702971 927331 936561 1099011 1552141 2108913 2781993 3495053 4656423 10485159 11550919 26009927 34652757 43534697 57429217 78029781 110202011 129316961 130604091 172287651 248148763 330606033 387950883 744446289 1610783789 3090963487 4077474407 4832351367 9181504231 9272890461 12232423221 15367748041 27544512693 46103244123 114365649019 343096947057 568606677517 1091110110911 1705820032551 3273330332733 40371074103707 121113222311121