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21221120112 = 2436738916963
BaseRepresentation
bin10011110000111000…
…001001100001110000
32000202221021121010120
4103300320021201300
5321430101320422
613425430130240
71350610354563
oct236070114160
960687247116
1021221120112
118aaa8506a5
124142ab0980
13200268530a
1410545524da
1584307945c
hex4f0e09870

21221120112 has 80 divisors (see below), whose sum is σ = 55785774720. Its totient is φ = 6949806336.

The previous prime is 21221120093. The next prime is 21221120113. The reversal of 21221120112 is 21102112212.

It is a junction number, because it is equal to n+sod(n) for n = 21221120091 and 21221120100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221120113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1242543 + ... + 1259505.

It is an arithmetic number, because the mean of its divisors is an integer number (697322184).

Almost surely, 221221120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27892887360).

21221120112 is an abundant number, since it is smaller than the sum of its proper divisors (34564654608).

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

21221120112 is a wasteful number, since it uses less digits than its factorization.

21221120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17430 (or 17424 counting only the distinct ones).

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

Adding to 21221120112 its reverse (21102112212), we get a palindrome (42323232324).

The spelling of 21221120112 in words is "twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 389 402 536 778 804 1072 1167 1556 1608 2334 3112 3216 4668 6224 9336 16963 18672 26063 33926 50889 52126 67852 78189 101778 104252 135704 156378 203556 208504 271408 312756 407112 417008 625512 814224 1136521 1251024 2273042 3409563 4546084 6598607 6819126 9092168 13197214 13638252 18184336 19795821 26394428 27276504 39591642 52788856 54553008 79183284 105577712 158366568 316733136 442106669 884213338 1326320007 1768426676 2652640014 3536853352 5305280028 7073706704 10610560056 21221120112