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12141242144124 = 22343227739140263
BaseRepresentation
bin1011000010101101101001…
…1011001101010101111100
31120222200200001002102221120
42300223122123031111330
53042410230442102444
641453335403230540
72362114204305162
oct260533233152574
946880601072846
1012141242144124
11396108773a235
121441079518450
136a0bb67107b2
142dd8d418b232
15160c4cc04b19
hexb0ada6cd57c

12141242144124 has 96 divisors (see below), whose sum is σ = 29155701442560. Its totient is φ = 3930195100608.

The previous prime is 12141242144123. The next prime is 12141242144131. The reversal of 12141242144124 is 42144124214121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141242144123) 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, 86490417 + ... + 86630679.

It is an arithmetic number, because the mean of its divisors is an integer number (303705223360).

Almost surely, 212141242144124 is an apocalyptic number.

It is an amenable number.

12141242144124 is an abundant number, since it is smaller than the sum of its proper divisors (17014459298436).

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

12141242144124 is a wasteful number, since it uses less digits than its factorization.

12141242144124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141279 (or 141277 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

Adding to 12141242144124 its reverse (42144124214121), we get a palindrome (54285366358245).

The spelling of 12141242144124 in words is "twelve trillion, one hundred forty-one billion, two hundred forty-two million, one hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 43 86 129 172 227 258 454 516 681 739 908 1362 1478 2217 2724 2956 4434 8868 9761 19522 29283 31777 39044 58566 63554 95331 117132 127108 140263 167753 190662 280526 335506 381324 420789 503259 561052 671012 841578 1006518 1683156 2013036 6031309 7213379 12062618 14426758 18093927 21640137 24125236 28853516 31839701 36187854 43280274 63679402 72375708 86560548 95519103 103654357 127358804 191038206 207308714 310963071 382076412 414617428 621926142 1243852284 1369107143 2738214286 4107321429 4457137351 5476428572 8214642858 8914274702 13371412053 16429285716 17828549404 23529539039 26742824106 47059078078 53485648212 70588617117 94118156156 141177234234 282354468468 1011770178677 2023540357354 3035310536031 4047080714708 6070621072062 12141242144124