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124041342312 = 233247112932467
BaseRepresentation
bin111001110000101110…
…0001010110101101000
3102212011122200001221100
41303201130022311220
54013014040423222
6132552300241400
711650601004336
oct1634134126550
9385148601840
10124041342312
1148673116448
1220059240260
13b90a552594
146009d7cb56
15335eb954ac
hex1ce170ad68

124041342312 has 96 divisors (see below), whose sum is σ = 343407542400. Its totient is φ = 40430299392.

The previous prime is 124041342301. The next prime is 124041342329. The reversal of 124041342312 is 213243140421.

124041342312 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 4 + 1 + 342 + 312 = 666.

124041342312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3804303 + ... + 3836769.

It is an arithmetic number, because the mean of its divisors is an integer number (3577161900).

Almost surely, 2124041342312 is an apocalyptic number.

124041342312 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 124041342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171703771200).

124041342312 is an abundant number, since it is smaller than the sum of its proper divisors (219366200088).

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

124041342312 is a wasteful number, since it uses less digits than its factorization.

124041342312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33655 (or 33648 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 124041342312 its reverse (213243140421), we get a palindrome (337284482733).

The spelling of 124041342312 in words is "one hundred twenty-four billion, forty-one million, three hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1129 1692 2258 3384 3387 4516 6774 9032 10161 13548 20322 27096 32467 40644 53063 64934 81288 97401 106126 129868 159189 194802 212252 259736 292203 318378 389604 424504 477567 584406 636756 779208 955134 1168812 1273512 1525949 1910268 2337624 3051898 3820536 4577847 6103796 9155694 12207592 13733541 18311388 27467082 36622776 36655243 54934164 73310486 109868328 109965729 146620972 219931458 293241944 329897187 439862916 659794374 879725832 1319588748 1722796421 2639177496 3445592842 5168389263 6891185684 10336778526 13782371368 15505167789 20673557052 31010335578 41347114104 62020671156 124041342312