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11200200120120 = 2335118485000091
BaseRepresentation
bin1010001011111011111111…
…1100110001011100111000
31110122201200012111112000010
42202332333330301130320
52432001002212320440
635453144554541520
72234121254135034
oct242767774613470
943581605445003
1011200200120120
113628a83a85340
12130a8104378a0
136332360400ab
142aa14206b1c4
151465224ad580
hexa2fbff31738

11200200120120 has 64 divisors (see below), whose sum is σ = 36655200397440. Its totient is φ = 2715200028800.

The previous prime is 11200200120113. The next prime is 11200200120143. The reversal of 11200200120120 is 2102100200211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11200200120096 and 11200200120105.

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, 4242498726 + ... + 4242501365.

It is an arithmetic number, because the mean of its divisors is an integer number (572737506210).

Almost surely, 211200200120120 is an apocalyptic number.

11200200120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200200120120 is an abundant number, since it is smaller than the sum of its proper divisors (25455000277320).

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

11200200120120 is a wasteful number, since it uses less digits than its factorization.

11200200120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8485000116 (or 8485000112 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11200200120120 its reverse (2102100200211), we get a palindrome (13302300320331).

The spelling of 11200200120120 in words is "eleven trillion, two hundred billion, two hundred million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 8485000091 16970000182 25455000273 33940000364 42425000455 50910000546 67880000728 84850000910 93335001001 101820001092 127275001365 169700001820 186670002002 203640002184 254550002730 280005003003 339400003640 373340004004 466675005005 509100005460 560010006006 746680008008 933350010010 1018200010920 1120020012012 1400025015015 1866700020020 2240040024024 2800050030030 3733400040040 5600100060060 11200200120120