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840120012 = 2236417027
BaseRepresentation
bin110010000100110…
…011011011001100
32011112211112000000
4302010303123030
53210032320022
6215210404300
726550621324
oct6204633314
92145745000
10840120012
113a1253666
121b5430690
1310508c244
147d810284
154db4e6ac
hex321336cc

840120012 has 84 divisors (see below), whose sum is σ = 2258391576. Its totient is φ = 273170880.

The previous prime is 840119983. The next prime is 840120097. The reversal of 840120012 is 210021048.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116043 + ... + 123069.

It is an arithmetic number, because the mean of its divisors is an integer number (26885614).

Almost surely, 2840120012 is an apocalyptic number.

840120012 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129195788).

840120012 is an abundant number, since it is smaller than the sum of its proper divisors (1418271564).

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

840120012 is a wasteful number, since it uses less digits than its factorization.

840120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7090 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 840120012 is about 28984.8238221315. The cubic root of 840120012 is about 943.5837288354.

The spelling of 840120012 in words is "eight hundred forty million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 729 738 972 1107 1458 1476 2214 2916 3321 4428 6642 7027 9963 13284 14054 19926 21081 28108 29889 39852 42162 59778 63243 84324 119556 126486 189729 252972 288107 379458 569187 576214 758916 864321 1138374 1152428 1707561 1728642 2276748 2592963 3415122 3457284 5122683 5185926 6830244 7778889 10245366 10371852 15557778 20490732 23336667 31115556 46673334 70010001 93346668 140020002 210030003 280040004 420060006 840120012