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12126834405 = 345713132653
BaseRepresentation
bin10110100101101000…
…01100111011100101
31011022010210000110000
423102310030323211
5144313432200110
65323200051513
7606341251230
oct132264147345
934263700400
1012126834405
1151633111a4
122425303b99
1311b351247a
148307d6417
154ae9761c0
hex2d2d0cee5

12126834405 has 80 divisors (see below), whose sum is σ = 25034385024. Its totient is φ = 5501208960.

The previous prime is 12126834371. The next prime is 12126834431. The reversal of 12126834405 is 50443862121.

It is a happy number.

12126834405 is a `hidden beast` number, since 1 + 212 + 6 + 8 + 34 + 405 = 666.

It is not a de Polignac number, because 12126834405 - 27 = 12126834277 is a prime.

It is a super-2 number, since 2×121268344052 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12126834405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 355059 + ... + 387711.

Almost surely, 212126834405 is an apocalyptic number.

12126834405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12126834405 is an abundant number, since it is smaller than the sum of its proper divisors (12907550619).

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

12126834405 is a wasteful number, since it uses less digits than its factorization.

12126834405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32808 (or 32799 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12126834405 in words is "twelve billion, one hundred twenty-six million, eight hundred thirty-four thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 131 135 189 315 393 405 567 655 917 945 1179 1965 2751 2835 3537 4585 5895 8253 10611 13755 17685 24759 32653 41265 53055 74277 97959 123795 163265 228571 293877 371385 489795 685713 881631 1142855 1469385 2057139 2644893 3428565 4277543 4408155 6171417 10285695 12832629 13224465 18514251 21387715 29942801 30857085 38497887 64163145 89828403 92571255 115493661 149714005 192489435 269485209 346480983 449142015 577468305 808455627 1347426045 1732404915 2425366881 4042278135 12126834405