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12042334320 = 2435494310151
BaseRepresentation
bin10110011011100011…
…10111000001110000
31011002020202222010020
423031301313001300
5144130314144240
65310541003440
7604264103262
oct131561670160
934066688106
1012042334320
11511a647015
122400b53580
13119bb67a13
148234bbb32
154a73340d0
hex2cdc77070

12042334320 has 80 divisors (see below), whose sum is σ = 37342467072. Its totient is φ = 3210323200.

The previous prime is 12042334289. The next prime is 12042334321. The reversal of 12042334320 is 2343324021.

12042334320 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 (80).

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 (12042334321) by changing a digit.

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, 1181245 + ... + 1191395.

Almost surely, 212042334320 is an apocalyptic number.

12042334320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042334320 is an abundant number, since it is smaller than the sum of its proper divisors (25300132752).

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

12042334320 is a wasteful number, since it uses less digits than its factorization.

12042334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15110 (or 15104 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12042334320 its reverse (2343324021), we get a palindrome (14385658341).

The spelling of 12042334320 in words is "twelve billion, forty-two million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4943 9886 10151 14829 19772 20302 24715 29658 30453 39544 40604 49430 50755 59316 60906 74145 79088 81208 98860 101510 118632 121812 148290 152265 162416 197720 203020 237264 243624 296580 304530 395440 406040 487248 593160 609060 812080 1186320 1218120 2436240 50176393 100352786 150529179 200705572 250881965 301058358 401411144 501763930 602116716 752645895 802822288 1003527860 1204233432 1505291790 2007055720 2408466864 3010583580 4014111440 6021167160 12042334320