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11220101111120 = 2451131411294029
BaseRepresentation
bin1010001101000110001000…
…1001000001110101010000
31110201122001010201121102212
42203101202021001311100
52432312231341023440
635510235430131252
72235424364564666
oct243214211016520
943648033647385
1011220101111120
11363646662a440
1213126451b0b28
13635088060305
142ab0ad13cc36
15146cd96bd465
hexa3462241d50

11220101111120 has 80 divisors (see below), whose sum is σ = 29376264798720. Its totient is φ = 3948422668800.

The previous prime is 11220101111117. The next prime is 11220101111201. The reversal of 11220101111120 is 2111110102211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11220101111095 and 11220101111104.

It is a congruent number.

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, 205619735 + ... + 205674294.

It is an arithmetic number, because the mean of its divisors is an integer number (367203309984).

Almost surely, 211220101111120 is an apocalyptic number.

11220101111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220101111120 is an abundant number, since it is smaller than the sum of its proper divisors (18156163687600).

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

11220101111120 is a wasteful number, since it uses less digits than its factorization.

11220101111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411294084 (or 411294078 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11220101111120 its reverse (2111110102211), we get a palindrome (13331211213331).

The spelling of 11220101111120 in words is "eleven trillion, two hundred twenty billion, one hundred one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5456 6820 13640 27280 411294029 822588058 1645176116 2056470145 3290352232 4112940290 4524234319 6580704464 8225880580 9048468638 12750114899 16451761160 18096937276 22621171595 25500229798 32903522320 36193874552 45242343190 51000459596 63750574495 72387749104 90484686380 102000919192 127501148990 140251263889 180969372760 204001838384 255002297980 280502527778 361938745520 510004595960 561005055556 701256319445 1020009191920 1122010111112 1402512638890 2244020222224 2805025277780 5610050555560 11220101111120