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21112012221120 = 263352443519933
BaseRepresentation
bin1001100110011100001011…
…11111010010101011000000
32202202021210102122022222000
410303032011333102223000
510231344400112033440
6112522420255144000
74306202225653152
oct463160577225300
982667712568860
1021112012221120
1167aa6105675a7
12244b796215000
13ba1b14912352
1452db80c04ad2
1526928a1bd730
hex133385fd2ac0

21112012221120 has 112 divisors (see below), whose sum is σ = 74478487588320. Its totient is φ = 5629869923328.

The previous prime is 21112012221073. The next prime is 21112012221143. The reversal of 21112012221120 is 2112221021112.

21112012221120 is a `hidden beast` number, since 211 + 1 + 201 + 22 + 211 + 20 = 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 = 21112012221093 and 21112012221102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221751327 + ... + 1221768606.

Almost surely, 221112012221120 is an apocalyptic number.

21112012221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112012221120 is an abundant number, since it is smaller than the sum of its proper divisors (53366475367200).

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

21112012221120 is a wasteful number, since it uses less digits than its factorization.

21112012221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443519959 (or 2443519943 counting only the distinct ones).

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

Adding to 21112012221120 its reverse (2112221021112), we get a palindrome (23224233242232).

The spelling of 21112012221120 in words is "twenty-one trillion, one hundred twelve billion, twelve million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 2443519933 4887039866 7330559799 9774079732 12217599665 14661119598 19548159464 21991679397 24435199330 29322239196 36652798995 39096318928 43983358794 48870398660 58644478392 65975038191 73305597990 78192637856 87966717588 97740797320 109958396985 117288956784 131950076382 146611195980 156385275712 175933435176 195481594640 219916793970 234577913568 263900152764 293222391960 329875190955 351866870352 390963189280 439833587940 469155827136 527800305528 586444783920 659750381910 703733740704 781926378560 879667175880 1055600611056 1172889567840 1319500763820 1407467481408 1759334351760 2111201222112 2345779135680 2639001527640 3518668703520 4222402444224 5278003055280 7037337407040 10556006110560 21112012221120