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2122221101220 = 22325113728968347
BaseRepresentation
bin11110111000011110001…
…111000010000010100100
321111212211020102002112200
4132320132033002002210
5234232302100214340
64302533535214500
7306216421503153
oct36703617020244
97455736362480
102122221101220
11749035538150
122a3373677430
1312518095a7cc
1474a04ba759a
153a30ce6c330
hex1ee1e3c20a4

2122221101220 has 144 divisors (see below), whose sum is σ = 7212423411648. Its totient is φ = 500573018880.

The previous prime is 2122221101219. The next prime is 2122221101267. The reversal of 2122221101220 is 221011222212.

It is a happy number.

2122221101220 is a `hidden beast` number, since 2 + 122 + 221 + 101 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2122221101193 and 2122221101202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14410914 + ... + 14557433.

It is an arithmetic number, because the mean of its divisors is an integer number (50086273692).

Almost surely, 22122221101220 is an apocalyptic number.

2122221101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122221101220 is an abundant number, since it is smaller than the sum of its proper divisors (5090202310428).

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

2122221101220 is a wasteful number, since it uses less digits than its factorization.

2122221101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28968410 (or 28968405 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122221101220 its reverse (221011222212), we get a palindrome (2343232323432).

The spelling of 2122221101220 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 28968347 57936694 86905041 115873388 144841735 173810082 260715123 289683470 318651817 347620164 434525205 521430246 579366940 637303634 869050410 955955451 1042860492 1071828839 1274607268 1303575615 1593259085 1738100820 1911910902 2143657678 2607151230 2867866353 3186518170 3215486517 3823821804 4287315356 4779777255 5214302460 5359144195 5735732706 6373036340 6430973034 9559554510 9646459551 10718288390 11471465412 11790117229 12861946068 14339331765 16077432585 19119109020 19292919102 21436576780 23580234458 28678663530 32154865170 35370351687 38585838204 47160468916 48232297755 57357327060 58950586145 64309730340 70740703374 96464595510 106111055061 117901172290 141481406748 176851758435 192929191020 212222110122 235802344580 353703516870 424444220244 530555275305 707407033740 1061110550610 2122221101220