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1222132545540 = 2232533159334591
BaseRepresentation
bin10001110010001100110…
…001101011100000000100
311022211112111222220202100
4101302030301223200010
5130010411412424130
62333235005512100
7154203404143614
oct21621461534004
94284474886670
101222132545540
11431337a63145
12178a35872630
138b328a36cba
1443219b2ca44
1521bccc9bc60
hex11c8cc6b804

1222132545540 has 144 divisors (see below), whose sum is σ = 3724713248256. Its totient is φ = 324360115200.

The previous prime is 1222132545503. The next prime is 1222132545581. The reversal of 1222132545540 is 455452312221.

1222132545540 is a `hidden beast` number, since 1 + 2 + 2 + 21 + 32 + 54 + 554 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1222132545495 and 1222132545504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35313645 + ... + 35348235.

It is an arithmetic number, because the mean of its divisors is an integer number (25866064224).

Almost surely, 21222132545540 is an apocalyptic number.

1222132545540 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 1222132545540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862356624128).

1222132545540 is an abundant number, since it is smaller than the sum of its proper divisors (2502580702716).

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

1222132545540 is a wasteful number, since it uses less digits than its factorization.

1222132545540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35530 (or 35525 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 1222132545540 its reverse (455452312221), we get a palindrome (1677584857761).

The spelling of 1222132545540 in words is "one trillion, two hundred twenty-two billion, one hundred thirty-two million, five hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 331 593 662 993 1186 1324 1655 1779 1986 2372 2965 2979 3310 3558 3972 4965 5337 5930 5958 6620 7116 8895 9930 10674 11860 11916 14895 17790 19860 21348 26685 29790 34591 35580 53370 59580 69182 103773 106740 138364 172955 196283 207546 311319 345910 392566 415092 518865 588849 622638 691820 785132 981415 1037730 1177698 1245276 1556595 1766547 1962830 2075460 2355396 2944245 3113190 3533094 3925660 5888490 6226380 7066188 8832735 11449621 11776980 17665470 20512463 22899242 34348863 35330940 41024926 45798484 57248105 61537389 68697726 82049852 102562315 103046589 114496210 123074778 137395452 171744315 184612167 205124630 206093178 228992420 246149556 307686945 343488630 369224334 410249260 412186356 515232945 615373890 686977260 738448668 923060835 1030465890 1230747780 1846121670 2060931780 3692243340 6789625253 13579250506 20368875759 27158501012 33948126265 40737751518 61106627277 67896252530 81475503036 101844378795 122213254554 135792505060 203688757590 244426509108 305533136385 407377515180 611066272770 1222132545540