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12011220311320 = 2353114737657289
BaseRepresentation
bin1010111011001001010010…
…0001010001110100011000
31120112021001121001222100101
42232302110201101310120
53033242434344430240
641313513424145144
72346532144046266
oct256622441216430
946467047058311
1012011220311320
113910a2580886a
12141ba314681b4
13691865163559
142d74bbc3b436
1515c68cecc39a
hexaec94851d18

12011220311320 has 64 divisors (see below), whose sum is σ = 27898963257600. Its totient is φ = 4649182064640.

The previous prime is 12011220311303. The next prime is 12011220311329. The reversal of 12011220311320 is 2311302211021.

It is a super-2 number, since 2×120112203113202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011220311329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17945236 + ... + 18602524.

It is an arithmetic number, because the mean of its divisors is an integer number (435921300900).

Almost surely, 212011220311320 is an apocalyptic number.

12011220311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011220311320 is an abundant number, since it is smaller than the sum of its proper divisors (15887742946280).

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

12011220311320 is a wasteful number, since it uses less digits than its factorization.

12011220311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672068 (or 672064 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12011220311320 its reverse (2311302211021), we get a palindrome (14322522522341).

The spelling of 12011220311320 in words is "twelve trillion, eleven billion, two hundred twenty million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 14737 29474 58948 73685 117896 147370 294740 456847 589480 657289 913694 1314578 1827388 2284235 2629156 3286445 3654776 4568470 5258312 6572890 9136940 13145780 18273880 20375959 26291560 40751918 81503836 101879795 163007672 203759590 407519180 815038360 9686467993 19372935986 38745871972 48432339965 77491743944 96864679930 193729359860 300280507783 387458719720 600561015566 1201122031132 1501402538915 2402244062264 3002805077830 6005610155660 12011220311320