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12124021410 = 23351719139021
BaseRepresentation
bin10110100101010010…
…11110001010100010
31011021221111002202000
423102221132022202
5144312222141120
65323015504430
7606305324124
oct132251361242
934257432660
1012124021410
11516176a806
122424388116
1311b2a68c87
148302a3214
154ae5bc990
hex2d2a5e2a2

12124021410 has 128 divisors (see below), whose sum is σ = 36034502400. Its totient is φ = 2882718720.

The previous prime is 12124021369. The next prime is 12124021411. The reversal of 12124021410 is 1412042121.

12124021410 is a `hidden beast` number, since 1 + 212 + 40 + 2 + 1 + 410 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12124021411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17700 + ... + 156720.

It is an arithmetic number, because the mean of its divisors is an integer number (281519550).

Almost surely, 212124021410 is an apocalyptic number.

12124021410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12124021410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18017251200).

12124021410 is an abundant number, since it is smaller than the sum of its proper divisors (23910480990).

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

12124021410 is a wasteful number, since it uses less digits than its factorization.

12124021410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139073 (or 139067 counting only the distinct ones).

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

Adding to 12124021410 its reverse (1412042121), we get a palindrome (13536063531).

The spelling of 12124021410 in words is "twelve billion, one hundred twenty-four million, twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 45 51 54 57 85 90 95 102 114 135 153 170 171 190 255 270 285 306 323 342 459 510 513 570 646 765 855 918 969 1026 1530 1615 1710 1938 2295 2565 2907 3230 4590 4845 5130 5814 8721 9690 14535 17442 29070 43605 87210 139021 278042 417063 695105 834126 1251189 1390210 2085315 2363357 2502378 2641399 3753567 4170630 4726714 5282798 6255945 7090071 7507134 7924197 11816785 12511890 13206995 14180142 15848394 18767835 21270213 23633570 23772591 26413990 35450355 37535670 39620985 42540426 44903783 47545182 63810639 70900710 71317773 79241970 89807566 106351065 118862955 127621278 134711349 142635546 212702130 224518915 237725910 269422698 319053195 356588865 404134047 449037830 638106390 673556745 713177730 808268094 1212402141 1347113490 2020670235 2424804282 4041340470 6062010705 12124021410