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11120000221220 = 225111271697234529
BaseRepresentation
bin1010000111010001001110…
…1010011100000000100100
31110101001122221020112021012
42201310103222130000210
52424142230024034340
635352242500441352
72225251654216562
oct241642352340044
943331587215235
1011120000221220
1135a7a69255260
1212b71696a9258
136287c4688007
142a62d4938a32
151443cb6a5565
hexa1d13a9c024

11120000221220 has 96 divisors (see below), whose sum is σ = 25690738913280. Its totient is φ = 4009415639040.

The previous prime is 11120000221219. The next prime is 11120000221243. The reversal of 11120000221220 is 2212200002111.

It is a junction number, because it is equal to n+sod(n) for n = 11120000221195 and 11120000221204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47296916 + ... + 47531444.

It is an arithmetic number, because the mean of its divisors is an integer number (267611863680).

Almost surely, 211120000221220 is an apocalyptic number.

11120000221220 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 11120000221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12845369456640).

11120000221220 is an abundant number, since it is smaller than the sum of its proper divisors (14570738692060).

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

11120000221220 is a wasteful number, since it uses less digits than its factorization.

11120000221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236373 (or 236371 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11120000221220 its reverse (2212200002111), we get a palindrome (13332200223331).

The spelling of 11120000221220 in words is "eleven trillion, one hundred twenty billion, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 1697 2540 2794 3394 5588 6788 6985 8485 13970 16970 18667 27940 33940 37334 74668 93335 186670 215519 234529 373340 431038 469058 862076 938116 1077595 1172645 2155190 2345290 2370709 2579819 4310380 4690580 4741418 5159638 9482836 10319276 11853545 12899095 23707090 25798190 29785183 47414180 51596380 59570366 119140732 148925915 297851830 327637013 397995713 595703660 655274026 795991426 1310548052 1591982852 1638185065 1989978565 3276370130 3979957130 4377952843 6552740260 7959914260 8755905686 17511811372 21889764215 43779528430 50545455551 87559056860 101090911102 202181822204 252727277755 505454555510 556000011061 1010909111020 1112000022122 2224000044244 2780000055305 5560000110610 11120000221220