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121021021020123 = 32717414481615053
BaseRepresentation
bin11011100001000101100110…
…111101111101111111011011
3120212111111102000221220222100
4123201011212331331333123
5111330302022340120443
61105220142312454443
734330323501516150
oct3341054675757733
9525444360856870
10121021021020123
11356197aa399704
12116a68270aa423
13526b305789b53
1421c563d21c227
15ded07b5bc3d3
hex6e1166f7dfdb

121021021020123 has 96 divisors (see below), whose sum is σ = 216740581529472. Its totient is φ = 63485175398400.

The previous prime is 121021021020121. The next prime is 121021021020127. The reversal of 121021021020123 is 321020120120121.

121021021020123 is a `hidden beast` number, since 1 + 21 + 0 + 210 + 210 + 201 + 23 = 666.

It is not a de Polignac number, because 121021021020123 - 21 = 121021021020121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121021021020096 and 121021021020105.

It is not an unprimeable number, because it can be changed into a prime (121021021020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196457665 + ... + 197072717.

It is an arithmetic number, because the mean of its divisors is an integer number (2257714390932).

Almost surely, 2121021021020123 is an apocalyptic number.

121021021020123 is a deficient number, since it is larger than the sum of its proper divisors (95719560509349).

121021021020123 is a wasteful number, since it uses less digits than its factorization.

121021021020123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619605 (or 619602 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121021021020123 its reverse (321020120120121), we get a palindrome (442041141140244).

The spelling of 121021021020123 in words is "one hundred twenty-one trillion, twenty-one billion, twenty-one million, twenty thousand, one hundred twenty-three".

Divisors: 1 3 7 9 17 21 41 51 63 119 123 153 287 357 369 697 861 1071 2091 2583 4481 4879 6273 13443 14637 31367 40329 43911 76177 94101 183721 228531 282303 533239 551163 615053 685593 1286047 1599717 1653489 1845159 3123257 3858141 4305371 4799151 5535477 9369771 10455901 11574423 12916113 21862799 25217173 28109313 31367703 38748339 65588397 73191307 75651519 94103109 176520211 196765191 219573921 226954557 428691941 529560633 658721763 1286075823 1588681899 2756052493 3000843587 3858227469 8268157479 9002530761 19292367451 24804472437 27007592283 46852892381 57877102353 112998152213 140558677143 173631307059 327970246667 338994456639 421676031429 790987065491 983910740001 1016983369917 1920968587621 2372961196473 2951732220003 5762905762863 7118883589419 13446780113347 17288717288589 40340340340041 121021021020123