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12111333212121 = 3111390913105439
BaseRepresentation
bin1011000000111110001110…
…1101101011111111011001
31120212211110122011021101020
42300033203231223333121
53041413002300241441
641431511503113053
72360005061500533
oct260174355537731
946784418137336
1012111333212121
11394a429946a10
121437310ba2789
1369b12b1827b0
142dc297c8a853
1516009c0b8e66
hexb03e3b6bfd9

12111333212121 has 32 divisors (see below), whose sum is σ = 18973691842560. Its totient is φ = 6774823540800.

The previous prime is 12111333212059. The next prime is 12111333212129. The reversal of 12111333212121 is 12121233311121.

It is not a de Polignac number, because 12111333212121 - 29 = 12111333211609 is a prime.

It is a super-3 number, since 3×121113332121213 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12111333212091 and 12111333212100.

It is not an unprimeable number, because it can be changed into a prime (12111333212129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2347320 + ... + 5452758.

It is an arithmetic number, because the mean of its divisors is an integer number (592927870080).

Almost surely, 212111333212121 is an apocalyptic number.

12111333212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111333212121 is a deficient number, since it is larger than the sum of its proper divisors (6862358630439).

12111333212121 is a wasteful number, since it uses less digits than its factorization.

12111333212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114557.

The product of its digits is 432, while the sum is 24.

Adding to 12111333212121 its reverse (12121233311121), we get a palindrome (24232566523242).

The spelling of 12111333212121 in words is "twelve trillion, one hundred eleven billion, three hundred thirty-three million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 11 13 33 39 143 429 9091 27273 100001 118183 300003 354549 1300013 3105439 3900039 9316317 34159829 40370707 102479487 121112121 444077777 1332233331 28231545949 84694637847 310547005439 367010097337 931641016317 1101030292011 4037111070707 12111333212121