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12341451120 = 2435291979001
BaseRepresentation
bin10110111111001101…
…11001100101110000
31011212002121200020020
423133212321211300
5200233402413440
65400344043440
7614555414025
oct133746714560
934762550206
1012341451120
115263477989
122485163580
131218b167cb
1485110154c
154c371b3d0
hex2df9b9970

12341451120 has 160 divisors (see below), whose sum is σ = 39783078720. Its totient is φ = 3161088000.

The previous prime is 12341451103. The next prime is 12341451127. The reversal of 12341451120 is 2115414321.

It is a super-2 number, since 2×123414511202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12341451127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1366620 + ... + 1375620.

It is an arithmetic number, because the mean of its divisors is an integer number (248644242).

Almost surely, 212341451120 is an apocalyptic number.

12341451120 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 12341451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891539360).

12341451120 is an abundant number, since it is smaller than the sum of its proper divisors (27441627600).

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

12341451120 is a wasteful number, since it uses less digits than its factorization.

12341451120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9243 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 12341451120 its reverse (2115414321), we get a palindrome (14456865441).

The spelling of 12341451120 in words is "twelve billion, three hundred forty-one million, four hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 197 232 240 290 348 394 435 464 580 591 696 788 870 985 1160 1182 1392 1576 1740 1970 2320 2364 2955 3152 3480 3940 4728 5713 5910 6960 7880 9001 9456 11426 11820 15760 17139 18002 22852 23640 27003 28565 34278 36004 45005 45704 47280 54006 57130 68556 72008 85695 90010 91408 108012 114260 135015 137112 144016 171390 180020 216024 228520 261029 270030 274224 342780 360040 432048 457040 522058 540060 685560 720080 783087 1044116 1080120 1305145 1371120 1566174 1773197 2088232 2160240 2610290 3132348 3546394 3915435 4176464 5220580 5319591 6264696 7092788 7830870 8865985 10441160 10639182 12529392 14185576 15661740 17731970 20882320 21278364 26597955 28371152 31323480 35463940 42556728 51422713 53195910 62646960 70927880 85113456 102845426 106391820 141855760 154268139 205690852 212783640 257113565 308536278 411381704 425567280 514227130 617072556 771340695 822763408 1028454260 1234145112 1542681390 2056908520 2468290224 3085362780 4113817040 6170725560 12341451120