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20121012320 = 255172435143
BaseRepresentation
bin10010101111010011…
…100100100001100000
31220221021020022221112
4102233103210201200
5312201434343240
613124331042452
71311421532333
oct225723444140
956837208845
1020121012320
118595872402
123a965a0428
131b88797566
14d8c3c661a
157cb6c1665
hex4af4e4860

20121012320 has 72 divisors (see below), whose sum is σ = 50496720624. Its totient is φ = 7574951936.

The previous prime is 20121012281. The next prime is 20121012323. The reversal of 20121012320 is 2321012102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20121012295 and 20121012304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121012323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171332 + ... + 263811.

It is an arithmetic number, because the mean of its divisors is an integer number (701343342).

Almost surely, 220121012320 is an apocalyptic number.

20121012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121012320 is an abundant number, since it is smaller than the sum of its proper divisors (30375708304).

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

20121012320 is a wasteful number, since it uses less digits than its factorization.

20121012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435192 (or 435167 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20121012320 its reverse (2321012102), we get a palindrome (22442024422).

The spelling of 20121012320 in words is "twenty billion, one hundred twenty-one million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 544 578 680 1156 1360 1445 2312 2720 2890 4624 5780 9248 11560 23120 46240 435143 870286 1740572 2175715 3481144 4351430 6962288 7397431 8702860 13924576 14794862 17405720 29589724 34811440 36987155 59179448 69622880 73974310 118358896 125756327 147948620 236717792 251512654 295897240 503025308 591794480 628781635 1006050616 1183588960 1257563270 2012101232 2515126540 4024202464 5030253080 10060506160 20121012320