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11120211011120 = 24510110691287431
BaseRepresentation
bin1010000111010010000000…
…1110100010011000110000
31110101002012121212202122112
42201310200032202120300
52424143143004323440
635352315430424452
72225260124003441
oct241644016423060
943332177782575
1011120211011120
1135a8067237892
1212b7208202128
1362882924c573
142a63149292c8
151443dee41965
hexa1d203a2630

11120211011120 has 80 divisors (see below), whose sum is σ = 26134921097280. Its totient is φ = 4399920768000.

The previous prime is 11120211011101. The next prime is 11120211011137. The reversal of 11120211011120 is 2111011202111.

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 = 11120211011095 and 11120211011104.

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, 7993805 + ... + 9281235.

It is an arithmetic number, because the mean of its divisors is an integer number (326686513716).

Almost surely, 211120211011120 is an apocalyptic number.

11120211011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120211011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13067460548640).

11120211011120 is an abundant number, since it is smaller than the sum of its proper divisors (15014710086160).

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

11120211011120 is a wasteful number, since it uses less digits than its factorization.

11120211011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288614 (or 1288608 counting only the distinct ones).

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

Adding to 11120211011120 its reverse (2111011202111), we get a palindrome (13231222213231).

The spelling of 11120211011120 in words is "eleven trillion, one hundred twenty billion, two hundred eleven million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1069 1616 2020 2138 4040 4276 5345 8080 8552 10690 17104 21380 42760 85520 107969 215938 431876 539845 863752 1079690 1287431 1727504 2159380 2574862 4318760 5149724 6437155 8637520 10299448 12874310 20598896 25748620 51497240 102994480 130030531 260061062 520122124 650152655 1040244248 1300305310 1376263739 2080488496 2600610620 2752527478 5201221240 5505054956 6881318695 10402442480 11010109912 13762637390 22020219824 27525274780 55050549560 110101099120 139002637639 278005275278 556010550556 695013188195 1112021101112 1390026376390 2224042202224 2780052752780 5560105505560 11120211011120