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12124572828 = 223191491732063
BaseRepresentation
bin10110100101010111…
…00100110010011100
31011021222112010010220
423102223210302130
5144312342312303
65323035401340
7606313111554
oct132253446234
934258463126
1012124572828
115162007025
1224245b3250
1311b2bccc64
148303a8164
154ae67b053
hex2d2ae4c9c

12124572828 has 96 divisors (see below), whose sum is σ = 30167424000. Its totient is φ = 3779299584.

The previous prime is 12124572749. The next prime is 12124572833. The reversal of 12124572828 is 82827542121.

It is a happy number.

12124572828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121245728282 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12124572828.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5876125 + ... + 5878187.

It is an arithmetic number, because the mean of its divisors is an integer number (314244000).

Almost surely, 212124572828 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 12124572828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083712000).

12124572828 is an abundant number, since it is smaller than the sum of its proper divisors (18042851172).

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

12124572828 is a wasteful number, since it uses less digits than its factorization.

12124572828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2409 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The spelling of 12124572828 in words is "twelve billion, one hundred twenty-four million, five hundred seventy-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 149 173 228 298 346 447 519 596 692 894 1038 1788 2063 2076 2831 3287 4126 5662 6189 6574 8252 8493 9861 11324 12378 13148 16986 19722 24756 25777 33972 39197 39444 51554 77331 78394 103108 117591 154662 156788 235182 307387 309324 356899 470364 489763 614774 713798 922161 979526 1070697 1229548 1427596 1469289 1844322 1959052 2141394 2938578 3688644 4282788 5840353 5877156 6781081 11680706 13562162 17521059 20343243 23361412 27124324 35042118 40686486 53177951 70084236 81372972 106355902 159533853 212711804 319067706 638135412 1010381069 2020762138 3031143207 4041524276 6062286414 12124572828