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20111221220112 = 24321199011282343
BaseRepresentation
bin1001001001010100000100…
…01100100110001100010000
32122012121120120210220002100
410210222002030212030100
510114000240113020422
6110434544550520400
74143662544550551
oct444520214461420
978177516726070
1020111221220112
116454137097970
122309833366100
13b2b6317c4999
144d75616d6328
1524d2142ab7ac
hex124a82326310

20111221220112 has 120 divisors (see below), whose sum is σ = 61406417112768. Its totient is φ = 6093689184000.

The previous prime is 20111221220023. The next prime is 20111221220141. The reversal of 20111221220112 is 21102212211102.

20111221220112 is a `hidden beast` number, since 2 + 0 + 111 + 221 + 220 + 112 = 666.

It is a super-2 number, since 2×201112212201122 (a number of 27 digits) contains 22 as substring.

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

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, 15042013 + ... + 16324355.

Almost surely, 220111221220112 is an apocalyptic number.

20111221220112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20111221220112 is an abundant number, since it is smaller than the sum of its proper divisors (41295195892656).

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

20111221220112 is a wasteful number, since it uses less digits than its factorization.

20111221220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292269 (or 1292260 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20111221220112 its reverse (21102212211102), we get a palindrome (41213433431214).

The spelling of 20111221220112 in words is "twenty trillion, one hundred eleven billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 9901 19802 29703 39604 59406 79208 89109 108911 118812 158416 178218 217822 237624 326733 356436 435644 475248 653466 712872 871288 980199 1282343 1306932 1425744 1742576 1960398 2564686 2613864 3847029 3920796 5129372 5227728 7694058 7841592 10258744 11541087 14105773 15388116 15683184 20517488 23082174 28211546 30776232 42317319 46164348 56423092 61552464 84634638 92328696 112846184 126951957 169269276 184657392 225692368 253903914 338538552 507807828 677077104 1015615656 2031231312 12696478043 25392956086 38089434129 50785912172 76178868258 101571824344 114268302387 139661258473 152357736516 203143648688 228536604774 279322516946 304715473032 418983775419 457073209548 558645033892 609430946064 837967550838 914146419096 1117290067784 1256951326257 1675935101676 1828292838192 2234580135568 2513902652514 3351870203352 5027805305028 6703740406704 10055610610056 20111221220112