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12011220111121 = 7111033315096281
BaseRepresentation
bin1010111011001001010010…
…0000100000111100010001
31120112021001120200210201121
42232302110200200330101
53033242434322023441
641313513420002241
72346532142253520
oct256622440407421
946467046623647
1012011220111121
113910a25691410
12141ba31390381
136918650c33aa
142d74bbbc84b7
1515c68ce8cdd1
hexaec94820f11

12011220111121 has 16 divisors (see below), whose sum is σ = 14976477906048. Its totient is φ = 9358485897600.

The previous prime is 12011220111031. The next prime is 12011220111169. The reversal of 12011220111121 is 12111102211021.

It is not a de Polignac number, because 12011220111121 - 215 = 12011220078353 is a prime.

It is a super-3 number, since 3×120112201111213 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12011220111095 and 12011220111104.

It is not an unprimeable number, because it can be changed into a prime (12011220111221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6752500 + ... + 8343781.

It is an arithmetic number, because the mean of its divisors is an integer number (936029869128).

Almost surely, 212011220111121 is an apocalyptic number.

12011220111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12011220111121 is a deficient number, since it is larger than the sum of its proper divisors (2965257794927).

12011220111121 is a wasteful number, since it uses less digits than its factorization.

12011220111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15106632.

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

Adding to 12011220111121 its reverse (12111102211021), we get a palindrome (24122322322142).

The spelling of 12011220111121 in words is "twelve trillion, eleven billion, two hundred twenty million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 7 11 77 10333 72331 113663 795641 15096281 105673967 166059091 1162413637 155989871573 1091929101011 1715888587303 12011220111121