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12222506016 = 25347673639
BaseRepresentation
bin10110110001000010…
…01010010000100000
31011112210210122020000
423120201022100200
5200012430143031
65340454420000
7611612405220
oct133041122040
934483718200
1012222506016
115202316746
122451361600
1311ca29baa6
1483d3bc080
154b80733e6
hex2d884a420

12222506016 has 120 divisors (see below), whose sum is σ = 41081261760. Its totient is φ = 3492139392.

The previous prime is 12222506003. The next prime is 12222506017. The reversal of 12222506016 is 61060522221.

12222506016 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 2 + 50 + 601 + 6 = 666.

It is a super-2 number, since 2×122225060162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12222506017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 318676 + ... + 354963.

It is an arithmetic number, because the mean of its divisors is an integer number (342343848).

Almost surely, 212222506016 is an apocalyptic number.

12222506016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12222506016 is an abundant number, since it is smaller than the sum of its proper divisors (28858755744).

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

12222506016 is an equidigital number, since it uses as much as digits as its factorization.

12222506016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673668 (or 673651 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12222506016 in words is "twelve billion, two hundred twenty-two million, five hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 673639 1347278 2020917 2694556 4041834 4715473 5389112 6062751 8083668 9430946 10778224 12125502 14146419 16167336 18188253 18861892 21556448 24251004 28292838 32334672 36376506 37723784 42439257 48502008 54564759 56585676 64669344 72753012 75447568 84878514 97004016 109129518 113171352 127317771 145506024 150895136 169757028 194008032 218259036 226342704 254635542 291012048 339514056 381953313 436518072 452685408 509271084 582024096 679028112 763906626 873036144 1018542168 1358056224 1527813252 1746072288 2037084336 3055626504 4074168672 6111253008 12222506016