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12192927440 = 24523311811181
BaseRepresentation
bin10110101101100000…
…10100111011010000
31011110202010220001012
423112300110323100
5144432342134230
65333520430052
7611103113261
oct132660247320
934422126035
1012192927440
115197653941
122443478328
1311c4113885
148394bc968
154b567e395
hex2d6c14ed0

12192927440 has 160 divisors (see below), whose sum is σ = 30730033152. Its totient is φ = 4485888000.

The previous prime is 12192927403. The next prime is 12192927449. The reversal of 12192927440 is 4472929121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12192927449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10323650 + ... + 10324830.

Almost surely, 212192927440 is an apocalyptic number.

12192927440 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 12192927440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15365016576).

12192927440 is an abundant number, since it is smaller than the sum of its proper divisors (18537105712).

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

12192927440 is a wasteful number, since it uses less digits than its factorization.

12192927440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 12192927440 in words is "twelve billion, one hundred ninety-two million, nine hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 181 184 230 248 310 362 368 460 496 620 713 724 905 920 1181 1240 1426 1448 1810 1840 2362 2480 2852 2896 3565 3620 4163 4724 5611 5704 5905 7130 7240 8326 9448 11222 11408 11810 14260 14480 16652 18896 20815 22444 23620 27163 28055 28520 33304 36611 41630 44888 47240 54326 56110 57040 66608 73222 83260 89776 94480 108652 112220 129053 135815 146444 166520 183055 213761 217304 224440 258106 271630 292888 333040 366110 427522 434608 448880 516212 543260 585776 645265 732220 842053 855044 1032424 1068805 1086520 1290530 1464440 1684106 1710088 2064848 2137610 2173040 2581060 2928880 3368212 3420176 4210265 4275220 4916503 5162120 6626591 6736424 8420530 8550440 9833006 10324240 13253182 13472848 16841060 17100880 19666012 24582515 26506364 33132955 33682120 39332024 49165030 53012728 66265910 67364240 78664048 98330060 106025456 132531820 152411593 196660120 265063640 304823186 393320240 530127280 609646372 762057965 1219292744 1524115930 2438585488 3048231860 6096463720 12192927440