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122812143630 = 235116146313177
BaseRepresentation
bin111001001100000101…
…1001001100000001110
3102201222222201022100020
41302120023021200032
54003004402044010
6132230310243010
711605253665611
oct1623013114016
9381888638306
10122812143630
11480a2287270
121b975656466
13b7729a6a97
145d30a0c178
1532dbcdd470
hex1c982c980e

122812143630 has 128 divisors (see below), whose sum is σ = 327546464256. Its totient is φ = 29219097600.

The previous prime is 122812143611. The next prime is 122812143661. The reversal of 122812143630 is 36341218221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 122812143591 and 122812143600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9313602 + ... + 9326778.

It is an arithmetic number, because the mean of its divisors is an integer number (2558956752).

Almost surely, 2122812143630 is an apocalyptic number.

122812143630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122812143630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163773232128).

122812143630 is an abundant number, since it is smaller than the sum of its proper divisors (204734320626).

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

122812143630 is a wasteful number, since it uses less digits than its factorization.

122812143630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13722.

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 122812143630 in words is "one hundred twenty-two billion, eight hundred twelve million, one hundred forty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 330 366 463 610 671 915 926 1342 1389 1830 2013 2315 2778 3355 4026 4630 5093 6710 6945 10065 10186 13177 13890 15279 20130 25465 26354 28243 30558 39531 50930 56486 65885 76395 79062 84729 131770 141215 144947 152790 169458 197655 282430 289894 310673 395310 423645 434841 621346 724735 803797 847290 869682 932019 1449470 1553365 1607594 1864038 2174205 2411391 3106730 4018985 4348410 4660095 4822782 6100951 8037970 8841767 9320190 12056955 12201902 17683534 18302853 24113910 26525301 30504755 36605706 44208835 53050602 61009510 67110461 88417670 91514265 132626505 134220922 183028530 201331383 265253010 335552305 372158011 402662766 671104610 744316022 1006656915 1116474033 1860790055 2013313830 2232948066 3721580110 4093738121 5582370165 8187476242 11164740330 12281214363 20468690605 24562428726 40937381210 61406071815 122812143630