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12340021120 = 27574016869
BaseRepresentation
bin10110111111000010…
…11100011110000000
31011211222221000122021
423133201130132000
5200233021133440
65400253251224
7614540306650
oct133741343600
934758830567
1012340021120
115262690569
122484793b14
13121873595b
14850c4c360
154c353784a
hex2df85c780

12340021120 has 128 divisors (see below), whose sum is σ = 33803697600. Its totient is φ = 4219699200.

The previous prime is 12340021117. The next prime is 12340021153. The reversal of 12340021120 is 2112004321.

12340021120 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 (128).

It is a super-2 number, since 2×123400211202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12340021094 and 12340021103.

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 15 ways as a sum of consecutive naturals, for example, 1793046 + ... + 1799914.

Almost surely, 212340021120 is an apocalyptic number.

12340021120 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 12340021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16901848800).

12340021120 is an abundant number, since it is smaller than the sum of its proper divisors (21463676480).

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

12340021120 is an equidigital number, since it uses as much as digits as its factorization.

12340021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296 (or 7284 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12340021120 its reverse (2112004321), we get a palindrome (14452025441).

The spelling of 12340021120 in words is "twelve billion, three hundred forty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 401 448 560 640 802 896 1120 1604 2005 2240 2807 3208 4010 4480 5614 6416 6869 8020 11228 12832 13738 14035 16040 22456 25664 27476 28070 32080 34345 44912 48083 51328 54952 56140 64160 68690 89824 96166 109904 112280 128320 137380 179648 192332 219808 224560 240415 256640 274760 359296 384664 439616 449120 480830 549520 769328 879232 898240 961660 1099040 1538656 1796480 1923320 2198080 2754469 3077312 3846640 4396160 5508938 6154624 7693280 11017876 13772345 15386560 19281283 22035752 27544690 30773120 38562566 44071504 55089380 77125132 88143008 96406415 110178760 154250264 176286016 192812830 220357520 308500528 352572032 385625660 440715040 617001056 771251320 881430080 1234002112 1542502640 1762860160 2468004224 3085005280 6170010560 12340021120