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11120121120220 = 2257374327496127
BaseRepresentation
bin1010000111010001101011…
…0111101000010111011100
31110101001222100201211111221
42201310122313220113130
52424143002001321340
635352302500023124
72225254652644030
oct241643267502734
943331870654457
1011120121120220
1135a8020520492
1212b71a2091aa4
13628813738198
142a6306a0a1c0
151443d70d744a
hexa1d1ade85dc

11120121120220 has 96 divisors (see below), whose sum is σ = 27415985651712. Its totient is φ = 3708704579328.

The previous prime is 11120121120203. The next prime is 11120121120221. The reversal of 11120121120220 is 2202112102111.

It is a junction number, because it is equal to n+sod(n) for n = 11120121120194 and 11120121120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120121120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22165797 + ... + 22661923.

It is an arithmetic number, because the mean of its divisors is an integer number (285583183872).

Almost surely, 211120121120220 is an apocalyptic number.

11120121120220 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 11120121120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13707992825856).

11120121120220 is an abundant number, since it is smaller than the sum of its proper divisors (16295864531492).

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

11120121120220 is a wasteful number, since it uses less digits than its factorization.

11120121120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500507 (or 500505 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11120121120220 its reverse (2202112102111), we get a palindrome (13322233222331).

The spelling of 11120121120220 in words is "eleven trillion, one hundred twenty billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 4327 5180 8654 17308 21635 30289 43270 60578 86540 121156 151445 160099 302890 320198 496127 605780 640396 800495 992254 1120693 1600990 1984508 2241386 2480635 3201980 3472889 4482772 4961270 5603465 6945778 9922540 11206930 13891556 17364445 18356699 22413860 34728890 36713398 69457780 73426796 91783495 128496893 183566990 256993786 367133980 513987572 642484465 1284968930 2146741529 2569937860 4293483058 8586966116 10733707645 15027190703 21467415290 30054381406 42934830580 60108762812 75135953515 79429436573 150271907030 158858873146 300543814060 317717746292 397147182865 556006056011 794294365730 1112012112022 1588588731460 2224024224044 2780030280055 5560060560110 11120121120220