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12221010120100 = 22527110915791459
BaseRepresentation
bin1011000111010110110011…
…1101111000110110100100
31121021022120012121110211011
42301311230331320312210
53100212112042320400
641554130551552004
72400640011023665
oct261655475706644
947238505543734
1012221010120100
1139919a0680221
12145461b68b604
136a8589757c92
143037001a936c
15162d6ab408ba
hexb1d6cf78da4

12221010120100 has 72 divisors (see below), whose sum is σ = 27139834814400. Its totient is φ = 4775336899200.

The previous prime is 12221010120079. The next prime is 12221010120133. The reversal of 12221010120100 is 102101012221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7121830 + ... + 8669629.

It is an arithmetic number, because the mean of its divisors is an integer number (376942150200).

Almost surely, 212221010120100 is an apocalyptic number.

12221010120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221010120100 is an abundant number, since it is smaller than the sum of its proper divisors (14918824694300).

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

12221010120100 is a wasteful number, since it uses less digits than its factorization.

12221010120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15791653 (or 15791646 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12221010120100 its reverse (102101012221), we get a palindrome (12323111132321).

The spelling of 12221010120100 in words is "twelve trillion, two hundred twenty-one billion, ten million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 109 142 218 284 355 436 545 710 1090 1420 1775 2180 2725 3550 5450 7100 7739 10900 15478 30956 38695 77390 154780 193475 386950 773900 15791459 31582918 63165836 78957295 157914590 315829180 394786475 789572950 1121193589 1579145900 1721269031 2242387178 3442538062 4484774356 5605967945 6885076124 8606345155 11211935890 17212690310 22423871780 28029839725 34425380620 43031725775 56059679450 86063451550 112119358900 122210101201 172126903100 244420202402 488840404804 611050506005 1222101012010 2444202024020 3055252530025 6110505060050 12221010120100