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12127374405 = 3351753179557
BaseRepresentation
bin10110100101101100…
…10000110001000101
31011022011210110012000
423102312100301011
5144314101440110
65323215415513
7606345660456
oct132266206105
934264713160
1012127374405
11516364a983
122425524599
1311b36711b3
148308d712d
154aea311c0
hex2d2d90c45

12127374405 has 128 divisors (see below), whose sum is σ = 23430643200. Its totient is φ = 5928579072.

The previous prime is 12127374341. The next prime is 12127374419. The reversal of 12127374405 is 50447372121.

12127374405 is a `hidden beast` number, since 1 + 212 + 7 + 37 + 4 + 405 = 666.

It is not a de Polignac number, because 12127374405 - 26 = 12127374341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12127374405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21772387 + ... + 21772943.

It is an arithmetic number, because the mean of its divisors is an integer number (183051900).

Almost surely, 212127374405 is an apocalyptic number.

12127374405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12127374405 is a deficient number, since it is larger than the sum of its proper divisors (11303268795).

12127374405 is a wasteful number, since it uses less digits than its factorization.

12127374405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 12127374405 in words is "twelve billion, one hundred twenty-seven million, three hundred seventy-four thousand, four hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 53 85 135 153 159 179 255 265 459 477 537 557 765 795 895 901 1431 1611 1671 2295 2385 2685 2703 2785 3043 4505 4833 5013 7155 8055 8109 8355 9129 9469 9487 13515 15039 15215 24165 24327 25065 27387 28407 28461 29521 40545 45645 47345 47435 75195 82161 85221 85383 88563 99703 121635 136935 142035 142305 147605 161279 255663 256149 265689 299109 410805 426105 426915 442815 483837 498515 501857 797067 806395 897327 1278315 1280745 1328445 1451511 1495545 1505571 1694951 2419185 2509285 2691981 3985335 4354533 4486635 4516713 5084853 5284259 7257555 7527855 8474755 13459905 13550139 15254559 15852777 21772665 22583565 25424265 26421295 45763677 47558331 67750695 76272795 79263885 89832403 142674993 228818385 237791655 269497209 449162015 713374965 808491627 1347486045 2425474881 4042458135 12127374405