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124242012 = 2236137311
BaseRepresentation
bin1110110011111…
…00100001011100
322122210011000000
413121330201130
5223301221022
620154534300
73036016416
oct731744134
9278704000
10124242012
1164149954
1235737390
131c9809ab
14127019b6
15ad926ac
hex767c85c

124242012 has 84 divisors (see below), whose sum is σ = 329421456. Its totient is φ = 40979520.

The previous prime is 124241993. The next prime is 124242049. The reversal of 124242012 is 210242421.

124242012 is a `hidden beast` number, since 1 + 242 + 420 + 1 + 2 = 666.

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

It is a congruent number.

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, 399337 + ... + 399647.

It is an arithmetic number, because the mean of its divisors is an integer number (3921684).

Almost surely, 2124242012 is an apocalyptic number.

124242012 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 124242012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164710728).

124242012 is an abundant number, since it is smaller than the sum of its proper divisors (205179444).

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

124242012 is a wasteful number, since it uses less digits than its factorization.

124242012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 124242012 is about 11146.3900882752. The cubic root of 124242012 is about 498.9872995939.

Adding to 124242012 its reverse (210242421), we get a palindrome (334484433).

The spelling of 124242012 in words is "one hundred twenty-four million, two hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 243 274 311 324 411 486 548 622 729 822 933 972 1233 1244 1458 1644 1866 2466 2799 2916 3699 3732 4932 5598 7398 8397 11097 11196 14796 16794 22194 25191 33291 33588 42607 44388 50382 66582 75573 85214 99873 100764 127821 133164 151146 170428 199746 226719 255642 302292 383463 399492 453438 511284 766926 906876 1150389 1533852 2300778 3451167 4601556 6902334 10353501 13804668 20707002 31060503 41414004 62121006 124242012