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124312410012 = 223729173294979
BaseRepresentation
bin111001111000110011…
…0001101011110011100
3102212212112201201220210
41303301212031132130
54014042434110022
6133035222212420
711660402023230
oct1636146153634
9385775651823
10124312410012
11487a212963a
1220113b84110
13b95176037b
146033d805c0
15337888ba0c
hex1cf198d79c

124312410012 has 96 divisors (see below), whose sum is σ = 344914214400. Its totient is φ = 34094737152.

The previous prime is 124312409987. The next prime is 124312410017. The reversal of 124312410012 is 210014213421.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124312410017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273939 + ... + 568917.

It is an arithmetic number, because the mean of its divisors is an integer number (3592856400).

Almost surely, 2124312410012 is an apocalyptic number.

124312410012 is a gapful number since it is divisible by the number (12) 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 124312410012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172457107200).

124312410012 is an abundant number, since it is smaller than the sum of its proper divisors (220601804388).

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

124312410012 is a wasteful number, since it uses less digits than its factorization.

124312410012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295195 (or 295193 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 124312410012 its reverse (210014213421), we get a palindrome (334326623433).

The spelling of 124312410012 in words is "one hundred twenty-four billion, three hundred twelve million, four hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 173 174 203 346 348 406 519 609 692 812 1038 1211 1218 2076 2422 2436 3633 4844 5017 7266 10034 14532 15051 20068 30102 35119 60204 70238 105357 140476 210714 294979 421428 589958 884937 1179916 1769874 2064853 3539748 4129706 6194559 8259412 8554391 12389118 17108782 24778236 25663173 34217564 51031367 51326346 59880737 102062734 102652692 119761474 153094101 179642211 204125468 239522948 306188202 357219569 359284422 612376404 714439138 718568844 1071658707 1428878276 1479909643 2143317414 2959819286 4286634828 4439728929 5919638572 8879457858 10359367501 17758915716 20718735002 31078102503 41437470004 62156205006 124312410012