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12011221222220 = 225111312287182233
BaseRepresentation
bin1010111011001001010010…
…0100110000001101001100
31120112021001122210020212102
42232302110210300031030
53033242440113102340
641313513455454232
72346532154562053
oct256622444601514
946467048706772
1012011221222220
113910a26280180
12141ba31827378
136918653c204c
142d74bbdd739a
1515c68d10c215
hexaec9493034c

12011221222220 has 96 divisors (see below), whose sum is σ = 27738942206976. Its totient is φ = 4332456460800.

The previous prime is 12011221222177. The next prime is 12011221222277. The reversal of 12011221222220 is 2222212211021.

It is a super-2 number, since 2×120112212222202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12011221222192 and 12011221222201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65820224 + ... + 66002456.

It is an arithmetic number, because the mean of its divisors is an integer number (288947314656).

Almost surely, 212011221222220 is an apocalyptic number.

12011221222220 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 12011221222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13869471103488).

12011221222220 is an abundant number, since it is smaller than the sum of its proper divisors (15727720984756).

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

12011221222220 is a wasteful number, since it uses less digits than its factorization.

12011221222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184671 (or 184669 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12011221222220 its reverse (2222212211021), we get a palindrome (14233433433241).

The spelling of 12011221222220 in words is "twelve trillion, eleven billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2287 2620 2882 4574 5764 7205 9148 11435 14410 22870 25157 28820 45740 50314 100628 125785 182233 251570 299597 364466 503140 599194 728932 911165 1198388 1497985 1822330 2004563 2995970 3295567 3644660 4009126 5991940 6591134 8018252 10022815 13182268 16477835 20045630 23872523 32955670 40091260 47745046 65911340 95490092 119362615 238725230 262597753 416766871 477450460 525195506 833533742 1050391012 1312988765 1667067484 2083834355 2625977530 4167668710 4584435581 5251955060 8335337420 9168871162 18337742324 22922177905 45844355810 54596460101 91688711620 109192920202 218385840404 272982300505 545964601010 600561061111 1091929202020 1201122122222 2402244244444 3002805305555 6005610611110 12011221222220