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12076214720 = 265353106907
BaseRepresentation
bin10110011111100110…
…00110100111000000
31011011121112021021212
423033303012213000
5144213002332340
65314151105252
7605155063043
oct131763064700
934147467255
1012076214720
115137787949
122410372228
1311a5b9acab
14827bbac5a
154aa2c7a65
hex2cfcc69c0

12076214720 has 56 divisors (see below), whose sum is σ = 28838219184. Its totient is φ = 4816756736.

The previous prime is 12076214719. The next prime is 12076214753. The reversal of 12076214720 is 2741267021.

12076214720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 59507 + ... + 166413.

Almost surely, 212076214720 is an apocalyptic number.

12076214720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12076214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419109592).

12076214720 is an abundant number, since it is smaller than the sum of its proper divisors (16762004464).

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

12076214720 is a wasteful number, since it uses less digits than its factorization.

12076214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107277 (or 107267 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 12076214720 in words is "twelve billion, seventy-six million, two hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 353 706 1412 1765 2824 3530 5648 7060 11296 14120 22592 28240 56480 106907 112960 213814 427628 534535 855256 1069070 1710512 2138140 3421024 4276280 6842048 8552560 17105120 34210240 37738171 75476342 150952684 188690855 301905368 377381710 603810736 754763420 1207621472 1509526840 2415242944 3019053680 6038107360 12076214720