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11120122211220 = 22325117381976081
BaseRepresentation
bin1010000111010001101011…
…1011110010101110010100
31110101001222102210021002100
42201310122323302232110
52424143002241224340
635352302535242100
72225254665136551
oct241643273625624
943331872707070
1011120122211220
1135a80210a6140
1212b71a2519330
13628813a2a949
142a6306c11a28
151443d7250830
hexa1d1aef2b94

11120122211220 has 144 divisors (see below), whose sum is σ = 36798477468480. Its totient is φ = 2695715251200.

The previous prime is 11120122211203. The next prime is 11120122211221. The reversal of 11120122211220 is 2211222102111.

11120122211220 is a `hidden beast` number, since 1 + 11 + 201 + 22 + 211 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11120122211193 and 11120122211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120122211221) 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 47 ways as a sum of consecutive naturals, for example, 146123580 + ... + 146199660.

It is an arithmetic number, because the mean of its divisors is an integer number (255544982420).

Almost surely, 211120122211220 is an apocalyptic number.

11120122211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120122211220 is an abundant number, since it is smaller than the sum of its proper divisors (25678355257260).

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

11120122211220 is a wasteful number, since it uses less digits than its factorization.

11120122211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149926 (or 149921 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11120122211220 its reverse (2211222102111), we get a palindrome (13331344313331).

The spelling of 11120122211220 in words is "eleven trillion, one hundred twenty billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 73819 76081 147638 152162 221457 228243 295276 304324 369095 380405 442914 456486 664371 684729 738190 760810 812009 836891 885828 912972 1107285 1141215 1328742 1369458 1476380 1521620 1624018 1673782 2214570 2282430 2436027 2510673 2657484 2738916 3248036 3321855 3347564 3423645 4060045 4184455 4429140 4564860 4872054 5021346 6643710 6847290 7308081 7532019 8120090 8368910 9744108 10042692 12180135 12553365 13287420 13694580 14616162 15064038 16240180 16737820 24360270 25106730 29232324 30128076 36540405 37660095 48720540 50213460 73080810 75320190 146161620 150640380 5616223339 11232446678 16848670017 22464893356 28081116695 33697340034 50546010051 56162233390 61778456729 67394680068 84243350085 101092020102 112324466780 123556913458 168486700170 185335370187 202184040204 247113826916 252730050255 308892283645 336973400340 370670740374 505460100510 556006110561 617784567290 741341480748 926676850935 1010920201020 1112012221122 1235569134580 1853353701870 2224024442244 2780030552805 3706707403740 5560061105610 11120122211220