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12344114124 = 22331135771753
BaseRepresentation
bin10110111111100010…
…00011101111001100
31011212021121222012000
423133301003233030
5200240043122444
65400521112300
7614620144626
oct133761035714
934767558160
1012344114124
115264a26711
122486028690
131219539954
148515d5c16
154c3a95469
hex2dfc43bcc

12344114124 has 96 divisors (see below), whose sum is σ = 32360879040. Its totient is φ = 4068900864.

The previous prime is 12344114119. The next prime is 12344114131. The reversal of 12344114124 is 42141144321.

12344114124 is a `hidden beast` number, since 1 + 234 + 4 + 11 + 412 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7040832 + ... + 7042584.

It is an arithmetic number, because the mean of its divisors is an integer number (337092490).

Almost surely, 212344114124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12344114124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180439520).

12344114124 is an abundant number, since it is smaller than the sum of its proper divisors (20016764916).

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

12344114124 is a wasteful number, since it uses less digits than its factorization.

12344114124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2448 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 12344114124 its reverse (42141144321), we get a palindrome (54485258445).

The spelling of 12344114124 in words is "twelve billion, three hundred forty-four million, one hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 577 678 1017 1154 1356 1731 1753 2034 2308 3051 3462 3506 4068 5193 5259 6102 6924 7012 10386 10518 12204 15579 15777 20772 21036 31158 31554 47331 62316 63108 65201 94662 130402 189324 195603 198089 260804 391206 396178 586809 594267 782412 792356 1011481 1173618 1188534 1760427 1782801 2022962 2347236 2377068 3034443 3520854 3565602 4045924 5348403 6068886 7041708 7131204 9103329 10696806 12137772 18206658 21393612 27309987 36413316 54619974 109239948 114297353 228594706 342892059 457189412 685784118 1028676177 1371568236 2057352354 3086028531 4114704708 6172057062 12344114124