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1212092064 = 2532311271069
BaseRepresentation
bin100100000111111…
…0000111010100000
310010110202122201200
41020033300322200
54440243421224
6320135201200
742015420051
oct11017607240
93113678650
101212092064
11572215787
12299b16200
13164169351
14b6d9a728
15716285c9
hex483f0ea0

1212092064 has 144 divisors (see below), whose sum is σ = 3589447680. Its totient is φ = 387555840.

The previous prime is 1212092051. The next prime is 1212092081. The reversal of 1212092064 is 4602902121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12120920642 = 2938334343223560192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1133322 + ... + 1134390.

It is an arithmetic number, because the mean of its divisors is an integer number (24926720).

Almost surely, 21212092064 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 1212092064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794723840).

1212092064 is an abundant number, since it is smaller than the sum of its proper divisors (2377355616).

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

1212092064 is a wasteful number, since it uses less digits than its factorization.

1212092064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1212092064 is about 34815.1125806021. The cubic root of 1212092064 is about 1066.2160176211.

Adding to 1212092064 its reverse (4602902121), we get a palindrome (5814994185).

The spelling of 1212092064 in words is "one billion, two hundred twelve million, ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 127 144 186 248 254 279 288 372 381 496 508 558 744 762 992 1016 1069 1116 1143 1488 1524 2032 2138 2232 2286 2976 3048 3207 3937 4064 4276 4464 4572 6096 6414 7874 8552 8928 9144 9621 11811 12192 12828 15748 17104 18288 19242 23622 25656 31496 33139 34208 35433 36576 38484 47244 51312 62992 66278 70866 76968 94488 99417 102624 125984 132556 135763 141732 153936 188976 198834 265112 271526 283464 298251 307872 377952 397668 407289 530224 543052 566928 596502 795336 814578 1060448 1086104 1133856 1193004 1221867 1590672 1629156 2172208 2386008 2443734 3181344 3258312 4208653 4344416 4772016 4887468 6516624 8417306 9544032 9774936 12625959 13033248 16834612 19549872 25251918 33669224 37877877 39099744 50503836 67338448 75755754 101007672 134676896 151511508 202015344 303023016 404030688 606046032 1212092064