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12042241024 = 210111318161
BaseRepresentation
bin10110011011100011…
…00000010000000000
31011002020121020010211
423031301200100000
5144130303203044
65310535003504
7604263234262
oct131561402000
934066536124
1012042241024
11511a592a10
122400b09594
13119bb34408
14823495b32
154a7316634
hex2cdc60400

12042241024 has 88 divisors (see below), whose sum is σ = 26464860576. Its totient is φ = 5431296000.

The previous prime is 12042240979. The next prime is 12042241037. The reversal of 12042241024 is 42014224021.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12042240986 and 12042241004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1471504 + ... + 1479664.

It is an arithmetic number, because the mean of its divisors is an integer number (300737052).

Almost surely, 212042241024 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 12042241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13232430288).

12042241024 is an abundant number, since it is smaller than the sum of its proper divisors (14422619552).

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

12042241024 is a wasteful number, since it uses less digits than its factorization.

12042241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 12042241024 its reverse (42014224021), we get a palindrome (54056465045).

The spelling of 12042241024 in words is "twelve billion, forty-two million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 176 256 262 352 512 524 704 1024 1048 1408 1441 2096 2816 2882 4192 5632 5764 8161 8384 11264 11528 16322 16768 23056 32644 33536 46112 65288 67072 89771 92224 130576 134144 179542 184448 261152 359084 368896 522304 718168 737792 1044608 1069091 1436336 1475584 2089216 2138182 2872672 4178432 4276364 5745344 8356864 8552728 11490688 11760001 17105456 22981376 23520002 34210912 45962752 47040004 68421824 91925504 94080008 136843648 188160016 273687296 376320032 547374592 752640064 1094749184 1505280128 3010560256 6021120512 12042241024