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12011111021100 = 2235259678593843
BaseRepresentation
bin1010111011001000111000…
…0000010111101000101100
31120112020202222102110100110
42232302032000113220230
53033242223410133400
641313454521500020
72346526346102022
oct256621600275054
946466688373313
1012011111021100
11391097a051474
12141ba00941610
13691848619299
142d74ab50c712
1515c6835dee50
hexaec8e017a2c

12011111021100 has 72 divisors (see below), whose sum is σ = 35341167395520. Its totient is φ = 3148675426880.

The previous prime is 12011111021059. The next prime is 12011111021179. The reversal of 12011111021100 is 112011111021.

It is a super-2 number, since 2×120111110211002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339279222 + ... + 339314621.

It is an arithmetic number, because the mean of its divisors is an integer number (490849547160).

Almost surely, 212011111021100 is an apocalyptic number.

12011111021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011111021100 is an abundant number, since it is smaller than the sum of its proper divisors (23330056374420).

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

12011111021100 is a wasteful number, since it uses less digits than its factorization.

12011111021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678593919 (or 678593912 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12011111021100 its reverse (112011111021), we get a palindrome (12123122132121).

The spelling of 12011111021100 in words is "twelve trillion, eleven billion, one hundred eleven million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 1180 1475 1770 2950 3540 4425 5900 8850 17700 678593843 1357187686 2035781529 2714375372 3392969215 4071563058 6785938430 8143126116 10178907645 13571876860 16964846075 20357815290 33929692150 40037036737 40715630580 50894538225 67859384300 80074073474 101789076450 120111110211 160148146948 200185183685 203578152900 240222220422 400370367370 480444440844 600555551055 800740734740 1000925918425 1201111102110 2001851836850 2402222204220 3002777755275 4003703673700 6005555510550 12011111021100