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11220111211120 = 2457103919283843
BaseRepresentation
bin1010001101000110001010…
…1111100011101001110000
31110201122001211201202000221
42203101202233203221300
52432312241432223440
635510240430422424
72235424546462030
oct243214257435160
943648054652027
1011220111211120
1136364712a8749
121312648661a14
1363508a188546
142ab0b060b8c0
15146cda515d4a
hexa3462be3a70

11220111211120 has 80 divisors (see below), whose sum is σ = 29842134266880. Its totient is φ = 3843192575232.

The previous prime is 11220111211079. The next prime is 11220111211147. The reversal of 11220111211120 is 2111211102211.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11220111211094 and 11220111211103.

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, 9060082 + ... + 10223761.

It is an arithmetic number, because the mean of its divisors is an integer number (373026678336).

Almost surely, 211220111211120 is an apocalyptic number.

11220111211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220111211120 is an abundant number, since it is smaller than the sum of its proper divisors (18622023055760).

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

11220111211120 is a wasteful number, since it uses less digits than its factorization.

11220111211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19284902 (or 19284896 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11220111211120 its reverse (2111211102211), we get a palindrome (13331322313331).

The spelling of 11220111211120 in words is "eleven trillion, two hundred twenty billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1039 2078 4156 5195 7273 8312 10390 14546 16624 20780 29092 36365 41560 58184 72730 83120 116368 145460 290920 581840 19283843 38567686 77135372 96419215 134986901 154270744 192838430 269973802 308541488 385676860 539947604 674934505 771353720 1079895208 1349869010 1542707440 2159790416 2699738020 5399476040 10798952080 20035912877 40071825754 80143651508 100179564385 140251390139 160287303016 200359128770 280502780278 320574606032 400718257540 561005560556 701256950695 801436515080 1122011121112 1402513901390 1602873030160 2244022242224 2805027802780 5610055605560 11220111211120