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121033121330121 = 371121310873370751
BaseRepresentation
bin11011100001010000111000…
…001100111111001111001001
3120212112122122022211100202220
4123201100320030333033021
5111331001313030030441
61105225503124244253
734331232401455650
oct3341207014771711
9525478568740686
10121033121330121
1135623949733700
12116a9043540689
13526c4b36432b0
1421c606a2ac197
15ded538a54466
hex6e143833f3c9

121033121330121 has 96 divisors (see below), whose sum is σ = 218517061238784. Its totient is φ = 57984450480000.

The previous prime is 121033121330117. The next prime is 121033121330123.

121033121330121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121033121330121 - 22 = 121033121330117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121033121330091 and 121033121330100.

It is not an unprimeable number, because it can be changed into a prime (121033121330123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34221496 + ... + 37592246.

It is an arithmetic number, because the mean of its divisors is an integer number (2276219387904).

Almost surely, 2121033121330121 is an apocalyptic number.

121033121330121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121033121330121 is a deficient number, since it is larger than the sum of its proper divisors (97483939908663).

121033121330121 is a wasteful number, since it uses less digits than its factorization.

121033121330121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371883 (or 3371872 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 121033121330121 in words is "one hundred twenty-one trillion, thirty-three billion, one hundred twenty-one million, three hundred thirty thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1087 1573 2541 3003 3261 4719 7609 11011 11957 14131 22827 33033 35871 42393 83699 98917 131527 155441 251097 296751 394581 466323 920689 1088087 1709851 2762067 3264261 3370751 5129553 10112253 11968957 23595257 35906871 37078261 43819763 70785771 111234783 131459289 259547827 306738341 407860871 482017393 778643481 920215023 1223582613 1446052179 2855026097 3374121751 3664006337 5302191323 8565078291 10122365253 10992019011 15906573969 25648044359 37115339261 40304069707 47632082381 76944133077 111346017783 120912209121 142896247143 282128487949 333424576667 443344766777 523952906191 846385463847 1000273730001 1330034300331 1571858718573 3103413367439 3667670343337 5763481968101 9310240102317 11003011030011 17290445904303 40344373776707 121033121330121