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12211211221 = 1122329151303
BaseRepresentation
bin10110101111101100…
…00100101111010101
31011112000112210200021
423113312010233111
5200002032224341
65335412345141
7611414403616
oct132766045725
934460483607
1012211211221
1151a6a01800
1224496151b1
1311c7b45a91
1483babbc0d
154b70919d1
hex2d7d84bd5

12211211221 has 24 divisors (see below), whose sum is σ = 14488871040. Its totient is φ = 10252223520.

The previous prime is 12211211219. The next prime is 12211211263.

12211211221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12211211221 - 21 = 12211211219 is a prime.

It is a super-2 number, since 2×122112112212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12211211195 and 12211211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211211921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5056 + ... + 156358.

It is an arithmetic number, because the mean of its divisors is an integer number (603702960).

Almost surely, 212211211221 is an apocalyptic number.

12211211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211211221 is a deficient number, since it is larger than the sum of its proper divisors (2277659819).

12211211221 is a wasteful number, since it uses less digits than its factorization.

12211211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151377 (or 151366 counting only the distinct ones).

The product of its digits is 32, while the sum is 16.

The spelling of 12211211221 in words is "twelve billion, two hundred eleven million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 23 29 121 253 319 667 2783 3509 7337 80707 151303 1664333 3479969 4387787 18307663 38279659 48265657 100919101 421076249 530922227 1110110111 12211211221