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12211100121 = 3113711039067
BaseRepresentation
bin10110101111101011…
…01001100111011001
31011112000100011021110
423113311221213121
5200002020200441
65335410130533
7611413431663
oct132765514731
934460304243
1012211100121
1151a6936290
122449580a49
1311c7b0733c
1483ba8d533
154b706db16
hex2d7d699d9

12211100121 has 32 divisors (see below), whose sum is σ = 18260195328. Its totient is φ = 7193327040.

The previous prime is 12211100009. The next prime is 12211100147. The reversal of 12211100121 is 12100111221.

It is not a de Polignac number, because 12211100121 - 210 = 12211099097 is a prime.

It is a super-2 number, since 2×122111001212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211100097 and 12211100106.

It is not an unprimeable number, because it can be changed into a prime (12211100191) 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, 1342230 + ... + 1351296.

It is an arithmetic number, because the mean of its divisors is an integer number (570631104).

Almost surely, 212211100121 is an apocalyptic number.

12211100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211100121 is a deficient number, since it is larger than the sum of its proper divisors (6049095207).

12211100121 is a wasteful number, since it uses less digits than its factorization.

12211100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10221.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12211100121 its reverse (12100111221), we get a palindrome (24311211342).

It can be divided in two parts, 12211100 and 121, that added together give a palindrome (12211221).

The spelling of 12211100121 in words is "twelve billion, two hundred eleven million, one hundred thousand, one hundred twenty-one".

Divisors: 1 3 11 33 37 111 407 1103 1221 3309 9067 12133 27201 36399 40811 99737 122433 299211 335479 448921 1006437 1346763 3690269 10000901 11070807 30002703 110009911 330029733 370033337 1110100011 4070366707 12211100121