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12124100142 = 2337112915849
BaseRepresentation
bin10110100101010011…
…10001011000101110
31011021221122002202000
423102221301120232
5144312232201032
65323021313130
7606306102510
oct132251613056
934257562660
1012124100142
115161813980
1224244057a6
1311b2a95a6b
148302c3bb0
154ae5d5e7c
hex2d2a7162e

12124100142 has 64 divisors (see below), whose sum is σ = 33590592000. Its totient is φ = 3149115840.

The previous prime is 12124100141. The next prime is 12124100179. The reversal of 12124100142 is 24100142121.

12124100142 is a `hidden beast` number, since 1 + 212 + 410 + 0 + 1 + 42 = 666.

12124100142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12124100141) by changing a digit.

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, 1453767 + ... + 1462082.

It is an arithmetic number, because the mean of its divisors is an integer number (524853000).

Almost surely, 212124100142 is an apocalyptic number.

12124100142 is an abundant number, since it is smaller than the sum of its proper divisors (21466491858).

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

12124100142 is a wasteful number, since it uses less digits than its factorization.

12124100142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915878 (or 2915872 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12124100142 its reverse (24100142121), we get a palindrome (36224242263).

The spelling of 12124100142 in words is "twelve billion, one hundred twenty-four million, one hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 2915849 5831698 8747547 17495094 20410943 26242641 32074339 40821886 52485282 61232829 64148678 78727923 96223017 122465658 157455846 183698487 192446034 224520373 288669051 367396974 449040746 551095461 577338102 673561119 866007153 1102190922 1347122238 1732014306 2020683357 4041366714 6062050071 12124100142