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12034036812 = 22372611572137
BaseRepresentation
bin10110011010100100…
…01101010001001100
31011001200011102002010
423031102031101030
5144121203134222
65310043101220
7604133424300
oct131522152114
934050142063
1012034036812
115115999a76
1223ba211810
13119a221055
1482235bd00
154a674580c
hex2cd48d44c

12034036812 has 144 divisors (see below), whose sum is σ = 33426381408. Its totient is φ = 3358817280.

The previous prime is 12034036799. The next prime is 12034036829. The reversal of 12034036812 is 21863043021.

It is a super-2 number, since 2×120340368122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12034036812.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5630208 + ... + 5632344.

Almost surely, 212034036812 is an apocalyptic number.

12034036812 is a gapful number since it is divisible by the number (12) 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 12034036812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713190704).

12034036812 is an abundant number, since it is smaller than the sum of its proper divisors (21392344596).

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

12034036812 is a wasteful number, since it uses less digits than its factorization.

12034036812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 12034036812 its reverse (21863043021), we get a palindrome (33897079833).

The spelling of 12034036812 in words is "twelve billion, thirty-four million, thirty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 157 183 196 244 294 314 366 427 471 588 628 732 854 942 1099 1281 1708 1884 2137 2198 2562 2989 3297 4274 4396 5124 5978 6411 6594 7693 8548 8967 9577 11956 12822 13188 14959 15386 17934 19154 23079 25644 28731 29918 30772 35868 38308 44877 46158 57462 59836 67039 89754 92316 104713 114924 130357 134078 179508 201117 209426 260714 268156 314139 335509 391071 402234 418852 469273 521428 628278 671018 782142 804468 912499 938546 1006527 1256556 1342036 1407819 1564284 1824998 1877092 2013054 2348563 2737497 2815638 3649996 4026108 4697126 5474994 5631276 6387493 7045689 9394252 10949988 12774986 14091378 16439941 19162479 20466049 25549972 28182756 32879882 38324958 40932098 49319823 61398147 65759764 76649916 81864196 98639646 122796294 143262343 197279292 245592588 286524686 429787029 573049372 859574058 1002836401 1719148116 2005672802 3008509203 4011345604 6017018406 12034036812