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12111221111011 = 1173137259342457
BaseRepresentation
bin1011000000111101110100…
…0010000011100011100011
31120212211011211012221120021
42300033131002003203203
53041412240101023021
641431452420254311
72360002230605251
oct260173502034343
946784154187507
1012111221111011
11394a38163a770
12143729b541397
1369b110b92c89
142dc2870295d1
15160092323c41
hexb03dd0838e3

12111221111011 has 32 divisors (see below), whose sum is σ = 13496512356288. Its totient is φ = 10775699619840.

The previous prime is 12111221110993. The next prime is 12111221111027. The reversal of 12111221111011 is 11011112211121.

It is a cyclic number.

It is not a de Polignac number, because 12111221111011 - 27 = 12111221110883 is a prime.

It is a super-5 number, since 5×121112211110115 (a number of 67 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12111221111071) 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, 285237295 + ... + 285279751.

It is an arithmetic number, because the mean of its divisors is an integer number (421766011134).

Almost surely, 212111221111011 is an apocalyptic number.

12111221111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12111221111011 is a deficient number, since it is larger than the sum of its proper divisors (1385291245277).

12111221111011 is a wasteful number, since it uses less digits than its factorization.

12111221111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45271.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 12111221111011 its reverse (11011112211121), we get a palindrome (23122333322132).

It can be divided in two parts, 121112211110 and 11, that added together give a palindrome (121112211121).

The spelling of 12111221111011 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-one million, one hundred eleven thousand, eleven".

Divisors: 1 11 73 137 803 1507 2593 10001 28523 42457 110011 189289 355241 467027 2082179 3099361 3907651 5816609 25932593 34092971 63982699 110091001 285258523 424612457 1211001011 4670737027 8036643073 15082467137 88403073803 165907138507 1101020101001 12111221111011