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10122020141112 = 2333116029706603
BaseRepresentation
bin1001001101001011011101…
…1010100011100000111000
31022211122200222122122222000
42103102313122203200320
52311314344124003422
633305554124101000
72063202044416035
oct223226732434070
938748628578860
1010122020141112
1132527a7542050
121175870094760
1358566ba1c659
1426dca089438c
1512846c438cac
hex934b76a3838

10122020141112 has 128 divisors (see below), whose sum is σ = 30677919264000. Its totient is φ = 3066765736320.

The previous prime is 10122020141081. The next prime is 10122020141137. The reversal of 10122020141112 is 21114102022101.

10122020141112 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 20 + 1 + 411 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13971603 + ... + 14678205.

It is an arithmetic number, because the mean of its divisors is an integer number (239671244250).

Almost surely, 210122020141112 is an apocalyptic number.

10122020141112 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 10122020141112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15338959632000).

10122020141112 is an abundant number, since it is smaller than the sum of its proper divisors (20555899122888).

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

10122020141112 is a wasteful number, since it uses less digits than its factorization.

10122020141112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712658 (or 712648 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10122020141112 its reverse (21114102022101), we get a palindrome (31236122163213).

The spelling of 10122020141112 in words is "ten trillion, one hundred twenty-two billion, twenty million, one hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 6029 12058 18087 24116 36174 48232 54261 66319 72348 108522 132638 144696 162783 198957 217044 265276 325566 397914 434088 530552 596871 651132 706603 795828 1193742 1302264 1413206 1591656 1790613 2119809 2387484 2826412 3581226 4239618 4774968 5652824 6359427 7162452 7772633 8479236 12718854 14324904 15545266 16958472 19078281 23317899 25437708 31090532 38156562 46635798 50875416 62181064 69953697 76313124 93271596 139907394 152626248 186543192 209861091 279814788 419722182 559629576 839444364 1678888728 4260109487 8520218974 12780328461 17040437948 25560656922 34080875896 38340985383 46861204357 51121313844 76681970766 93722408714 102242627688 115022956149 140583613071 153363941532 187444817428 230045912298 281167226142 306727883064 374889634856 421750839213 460091824596 562334452284 843501678426 920183649192 1124668904568 1265252517639 1687003356852 2530505035278 3374006713704 5061010070556 10122020141112