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12010323402324 = 223213791605720231
BaseRepresentation
bin1010111011000101111100…
…0011110101111001010100
31120112011202002101021111200
42232301133003311321110
53033234120242333244
641313244424232500
72346501003333252
oct256613703657124
946464662337450
1012010323402324
1139106054a7865
12141b82100b730
136917513aca80
142d7434a875d2
1515c6393b1669
hexaec5f0f5e54

12010323402324 has 144 divisors (see below), whose sum is σ = 33112325675520. Its totient is φ = 3648298268160.

The previous prime is 12010323402313. The next prime is 12010323402349. The reversal of 12010323402324 is 42320432301021.

12010323402324 is a `hidden beast` number, since 1 + 2 + 0 + 10 + 323 + 4 + 0 + 2 + 324 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 593649289 + ... + 593669519.

It is an arithmetic number, because the mean of its divisors is an integer number (229946706080).

Almost surely, 212010323402324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010323402324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556162837760).

12010323402324 is an abundant number, since it is smaller than the sum of its proper divisors (21102002273196).

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

12010323402324 is a wasteful number, since it uses less digits than its factorization.

12010323402324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36390 (or 36385 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12010323402324 its reverse (42320432301021), we get a palindrome (54330755703345).

The spelling of 12010323402324 in words is "twelve trillion, ten billion, three hundred twenty-three million, four hundred two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 234 237 316 468 474 711 948 1027 1422 2054 2844 3081 4108 6162 9243 12324 16057 18486 20231 32114 36972 40462 48171 60693 64228 80924 96342 121386 144513 182079 192684 208741 242772 263003 289026 364158 417482 526006 578052 626223 728316 789009 834964 1052012 1252446 1268503 1578018 1598249 1878669 2367027 2504892 2537006 3156036 3196498 3757338 3805509 4734054 4794747 5074012 6392996 7514676 7611018 9468108 9589494 11416527 14384241 15222036 16490539 19178988 20777237 22833054 28768482 32981078 41554474 45666108 49471617 57536964 62331711 65962156 83108948 98943234 124663422 148414851 186995133 197886468 249326844 296829702 324849167 373990266 593659404 649698334 747980532 974547501 1299396668 1949095002 2923642503 3898190004 4223039171 5847285006 8446078342 11694570012 12669117513 16892156684 25338235026 25663084193 38007352539 50676470052 51326168386 76014705078 76989252579 102652336772 152029410156 153978505158 230967757737 307957010316 333620094509 461935515474 667240189018 923871030948 1000860283527 1334480378036 2001720567054 3002580850581 4003441134108 6005161701162 12010323402324