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12124113300 = 223252131036249
BaseRepresentation
bin10110100101010011…
…10100100110010100
31011021221122202210100
423102221310212110
5144312233111200
65323021454100
7606306156045
oct132251644624
934257582710
1012124113300
115161822852
122424411330
1311b2a9ba50
148302c88cc
154ae5d9d00
hex2d2a74994

12124113300 has 108 divisors (see below), whose sum is σ = 40925657500. Its totient is φ = 2984394240.

The previous prime is 12124113263. The next prime is 12124113307. The reversal of 12124113300 is 331142121.

12124113300 is a `hidden beast` number, since 121 + 241 + 1 + 3 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 795916944 + 11328196356 = 28212^2 + 106434^2 .

It is a super-2 number, since 2×121241133002 (a number of 21 digits) contains 22 as substring.

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 (12124113307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 506425 + ... + 529824.

Almost surely, 212124113300 is an apocalyptic number.

12124113300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12124113300 is an abundant number, since it is smaller than the sum of its proper divisors (28801544200).

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

12124113300 is a wasteful number, since it uses less digits than its factorization.

12124113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036282 (or 1036272 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12124113300 its reverse (331142121), we get a palindrome (12455255421).

The spelling of 12124113300 in words is "twelve billion, one hundred twenty-four million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 1036249 2072498 3108747 4144996 5181245 6217494 9326241 10362490 12434988 13471237 15543735 18652482 20724980 25906225 26942474 31087470 37304964 40413711 46631205 51812450 53884948 62174940 67356185 77718675 80827422 93262410 103624900 121241133 134712370 155437350 161654844 186524820 202068555 233156025 242482266 269424740 310874700 336780925 404137110 466312050 484964532 606205665 673561850 808274220 932624100 1010342775 1212411330 1347123700 2020685550 2424822660 3031028325 4041371100 6062056650 12124113300