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12032453120 = 295171511831
BaseRepresentation
bin10110011010011000…
…01010101000000000
31011001120011221122212
423031030022220000
5144120301444440
65305545121252
7604114110152
oct131514125000
934046157585
1012032453120
115115008136
1223b9789228
131199ab825c
14822068ad2
154a6531465
hex2cd30aa00

12032453120 has 160 divisors (see below), whose sum is σ = 30765816576. Its totient is φ = 4497408000.

The previous prime is 12032453117. The next prime is 12032453159. The reversal of 12032453120 is 2135423021.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6570605 + ... + 6572435.

Almost surely, 212032453120 is an apocalyptic number.

12032453120 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 12032453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15382908288).

12032453120 is an abundant number, since it is smaller than the sum of its proper divisors (18733363456).

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

12032453120 is a wasteful number, since it uses less digits than its factorization.

12032453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 12032453120 its reverse (2135423021), we get a palindrome (14167876141).

The spelling of 12032453120 in words is "twelve billion, thirty-two million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 151 160 170 256 272 302 320 340 512 544 604 640 680 755 1088 1208 1280 1360 1510 1831 2176 2416 2560 2567 2720 3020 3662 4352 4832 5134 5440 6040 7324 8704 9155 9664 10268 10880 12080 12835 14648 18310 19328 20536 21760 24160 25670 29296 31127 36620 38656 41072 43520 48320 51340 58592 62254 73240 77312 82144 96640 102680 117184 124508 146480 155635 164288 193280 205360 234368 249016 276481 292960 311270 328576 386560 410720 468736 498032 552962 585920 622540 657152 821440 937472 996064 1105924 1171840 1245080 1314304 1382405 1642880 1992128 2211848 2343680 2490160 2764810 3285760 3984256 4423696 4687360 4700177 4980320 5529620 6571520 7968512 8847392 9400354 9960640 11059240 15937024 17694784 18800708 19921280 22118480 23500885 35389568 37601416 39842560 44236960 47001770 70779136 75202832 79685120 88473920 94003540 141558272 150405664 176947840 188007080 300811328 353895680 376014160 601622656 707791360 752028320 1203245312 1504056640 2406490624 3008113280 6016226560 12032453120