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12023031312 = 24331710611543
BaseRepresentation
bin10110011001010000…
…01110011000010000
31011000220110021101000
423030220032120100
5144110344000222
65305011142000
7603641036265
oct131450163020
934026407330
1012023031312
11510a762416
1223b65a4900
131197b69916
14820ad526c
154a57be9ac
hex2cca0e610

12023031312 has 160 divisors (see below), whose sum is σ = 36598728960. Its totient is φ = 3765934080.

The previous prime is 12023031281. The next prime is 12023031331. The reversal of 12023031312 is 21313032021.

12023031312 is a `hidden beast` number, since 120 + 230 + 3 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7791213 + ... + 7792755.

It is an arithmetic number, because the mean of its divisors is an integer number (228742056).

Almost surely, 212023031312 is an apocalyptic number.

12023031312 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 12023031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18299364480).

12023031312 is an abundant number, since it is smaller than the sum of its proper divisors (24575697648).

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

12023031312 is a wasteful number, since it uses less digits than its factorization.

12023031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12023031312 its reverse (21313032021), we get a palindrome (33336063333).

The spelling of 12023031312 in words is "twelve billion, twenty-three million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1061 1224 1543 1836 2122 2448 3086 3183 3672 4244 4629 6172 6366 7344 8488 9258 9549 12344 12732 13887 16976 18037 18516 19098 24688 25464 26231 27774 28647 36074 37032 38196 41661 50928 52462 54111 55548 57294 72148 74064 76392 78693 83322 104924 108222 111096 114588 144296 152784 157386 162333 166644 209848 216444 222192 229176 236079 288592 314772 324666 333288 419696 432888 458352 472158 486999 629544 649332 666576 708237 865776 944316 973998 1259088 1298664 1416474 1637123 1888632 1947996 2597328 2832948 3274246 3777264 3895992 4911369 5665896 6548492 7791984 9822738 11331792 13096984 14734107 19645476 26193968 27831091 29468214 39290952 44202321 55662182 58936428 78581904 83493273 88404642 111324364 117872856 166986546 176809284 222648728 235745712 250479819 333973092 353618568 445297456 500959638 667946184 707237136 751439457 1001919276 1335892368 1502878914 2003838552 3005757828 4007677104 6011515656 12023031312