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12160007040 = 27356333337
BaseRepresentation
bin10110101001100101…
…01111101110000000
31011101110012100202010
423110302233232000
5144400430211130
65330343052520
7610223232366
oct132462575600
934343170663
1012160007040
1151800092a5
122434441140
1311ba35854c
14834d8d636
154b282a0b0
hex2d4cafb80

12160007040 has 64 divisors (see below), whose sum is σ = 38760028560. Its totient is φ = 3242668032.

The previous prime is 12160006987. The next prime is 12160007137. The reversal of 12160007040 is 4070006121.

12160007040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12160006998 and 12160007016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3164749 + ... + 3168588.

Almost surely, 212160007040 is an apocalyptic number.

12160007040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12160007040 is an abundant number, since it is smaller than the sum of its proper divisors (26600021520).

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

12160007040 is an equidigital number, since it uses as much as digits as its factorization.

12160007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6333359 (or 6333347 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The spelling of 12160007040 in words is "twelve billion, one hundred sixty million, seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6333337 12666674 19000011 25333348 31666685 38000022 50666696 63333370 76000044 95000055 101333392 126666740 152000088 190000110 202666784 253333480 304000176 380000220 405333568 506666960 608000352 760000440 810667136 1013333920 1216000704 1520000880 2026667840 2432001408 3040001760 4053335680 6080003520 12160007040