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12121140411 = 3229241139281
BaseRepresentation
bin10110100100111100…
…11110110010111011
31011021202001201202100
423102132132302323
5144311002443121
65322434034443
7606241664532
oct132236366273
934252051670
1012121140411
115160082216
122423418a23
1311b229a843
1482db53319
154ae1ee026
hex2d279ecbb

12121140411 has 72 divisors (see below), whose sum is σ = 18775345680. Its totient is φ = 7530163200.

The previous prime is 12121140401. The next prime is 12121140413. The reversal of 12121140411 is 11404112121.

12121140411 is a `hidden beast` number, since 1 + 2 + 1 + 211 + 40 + 411 = 666.

It is not a de Polignac number, because 12121140411 - 215 = 12121107643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12121140413) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43135591 + ... + 43135871.

It is an arithmetic number, because the mean of its divisors is an integer number (260768690).

Almost surely, 212121140411 is an apocalyptic number.

12121140411 is a deficient number, since it is larger than the sum of its proper divisors (6654205269).

12121140411 is a wasteful number, since it uses less digits than its factorization.

12121140411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12121140411 its reverse (11404112121), we get a palindrome (23525252532).

The spelling of 12121140411 in words is "twelve billion, one hundred twenty-one million, one hundred forty thousand, four hundred eleven".

Divisors: 1 3 9 29 41 87 123 139 261 281 369 417 841 843 1189 1251 2523 2529 3567 4031 5699 7569 8149 10701 11521 12093 17097 24447 34481 34563 36279 39059 51291 73341 103443 103689 116899 117177 165271 236321 310329 334109 350697 351531 495813 708963 1002327 1052091 1132711 1487439 1601419 2126889 3006981 3398133 4792859 4804257 9689161 10194399 14378577 14412771 29067483 32848619 43135731 46441151 87202449 98545857 139323453 295637571 417970359 1346793379 4040380137 12121140411