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124122331212 = 223114137361487
BaseRepresentation
bin111001110011001000…
…1000111100001001100
3102212101022001201211020
41303212101013201030
54013200304044322
6133004312154140
711652603256515
oct1634621074114
9385338051736
10124122331212
1148704902620
1220080398950
13b92126aac9
146016a21a0c
153366d4205c
hex1ce644784c

124122331212 has 96 divisors (see below), whose sum is σ = 324526777344. Its totient is φ = 36596467200.

The previous prime is 124122331097. The next prime is 124122331243. The reversal of 124122331212 is 212133221421.

124122331212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 1987933 + ... + 2049419.

It is an arithmetic number, because the mean of its divisors is an integer number (3380487264).

Almost surely, 2124122331212 is an apocalyptic number.

124122331212 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 124122331212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162263388672).

124122331212 is an abundant number, since it is smaller than the sum of its proper divisors (200404446132).

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

124122331212 is a wasteful number, since it uses less digits than its factorization.

124122331212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61919 (or 61917 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 124122331212 its reverse (212133221421), we get a palindrome (336255552633).

The spelling of 124122331212 in words is "one hundred twenty-four billion, one hundred twenty-two million, three hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 373 451 492 746 902 1119 1353 1492 1804 2238 2706 4103 4476 5412 8206 12309 15293 16412 24618 30586 45879 49236 61172 61487 91758 122974 168223 183516 184461 245948 336446 368922 504669 672892 676357 737844 1009338 1352714 2018676 2029071 2520967 2705428 4058142 5041934 7562901 8116284 10083868 15125802 22934651 27730637 30251604 45869302 55461274 68803953 83191911 91738604 110922548 137607906 166383822 252281161 275215812 332767644 504562322 756843483 940320691 1009124644 1513686966 1880641382 2820962073 3027373932 3761282764 5641924146 10343527601 11283848292 20687055202 31030582803 41374110404 62061165606 124122331212