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1222101221100 = 2235219239321901
BaseRepresentation
bin10001110010001010111…
…010001011111011101100
311022211110100001110200220
4101302022322023323230
5130010330403033400
62333231530251340
7154202543660664
oct21621272137354
94284410043626
101222101221100
11431321308681
12178a27286b50
138b3223ba226
14432158d71a4
1521bca1607a0
hex11c8ae8beec

1222101221100 has 144 divisors (see below), whose sum is σ = 3883877249280. Its totient is φ = 295317792000.

The previous prime is 1222101221087. The next prime is 1222101221113. The reversal of 1222101221100 is 11221012221.

It is an interprime number because it is at equal distance from previous prime (1222101221087) and next prime (1222101221113).

It is a super-2 number, since 2×12221012211002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1222101221100.

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, 4529851 + ... + 4792050.

Almost surely, 21222101221100 is an apocalyptic number.

1222101221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222101221100 is an abundant number, since it is smaller than the sum of its proper divisors (2661776028180).

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

1222101221100 is a wasteful number, since it uses less digits than its factorization.

1222101221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9321960 (or 9321953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1222101221100 its reverse (11221012221), we get a palindrome (1233322233321).

The spelling of 1222101221100 in words is "one trillion, two hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 25 30 38 46 50 57 60 69 75 76 92 95 100 114 115 138 150 190 228 230 276 285 300 345 380 437 460 475 570 575 690 874 950 1140 1150 1311 1380 1425 1725 1748 1900 2185 2300 2622 2850 3450 4370 5244 5700 6555 6900 8740 10925 13110 21850 26220 32775 43700 65550 131100 9321901 18643802 27965703 37287604 46609505 55931406 93219010 111862812 139828515 177116119 186438020 214403723 233047525 279657030 354232238 428807446 466095050 531348357 559314060 643211169 699142575 708464476 857614892 885580595 932190100 1062696714 1072018615 1286422338 1398285150 1771161190 2125393428 2144037230 2572844676 2656741785 2796570300 3216055845 3542322380 4073670737 4288074460 4427902975 5313483570 5360093075 6432111690 8147341474 8855805950 10626967140 10720186150 12221012211 12864223380 13283708925 16080279225 16294682948 17711611900 20368353685 21440372300 24442024422 26567417850 32160558450 40736707370 48884048844 53134835700 61105061055 64321116900 81473414740 101841768425 122210122110 203683536850 244420244220 305525305275 407367073700 611050610550 1222101221100