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12291132084 = 22371121209281
BaseRepresentation
bin10110111001001101…
…11100101010110100
31011201120221012111020
423130212330222310
5200133012211314
65351345341140
7613404620220
oct133446745264
934646835436
1012291132084
115238029500
1224703377b0
13120b57912a
14848563780
154be0cbda9
hex2dc9bcab4

12291132084 has 72 divisors (see below), whose sum is σ = 36026929344. Its totient is φ = 3192499200.

The previous prime is 12291132079. The next prime is 12291132131. The reversal of 12291132084 is 48023119221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594477 + ... + 614804.

Almost surely, 212291132084 is an apocalyptic number.

12291132084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12291132084 is an abundant number, since it is smaller than the sum of its proper divisors (23735797260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12291132084 is a wasteful number, since it uses less digits than its factorization.

12291132084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209317 (or 1209304 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 12291132084 in words is "twelve billion, two hundred ninety-one million, one hundred thirty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 10164 1209281 2418562 3627843 4837124 7255686 8464967 13302091 14511372 16929934 25394901 26604182 33859868 39906273 50789802 53208364 79812546 93114637 101579604 146323001 159625092 186229274 279343911 292646002 372458548 438969003 558687822 585292004 877938006 1024261007 1117375644 1755876012 2048522014 3072783021 4097044028 6145566042 12291132084