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12211305414 = 23711101261697
BaseRepresentation
bin10110101111101100…
…11011101111000110
31011112000201120212220
423113312123233012
5200002043233124
65335414353210
7611415245340
oct132766335706
934460646786
1012211305414
1151a6a66550
12244965b806
1311c7b79909
1483bb04290
154b70ae879
hex2d7d9bbc6

12211305414 has 64 divisors (see below), whose sum is σ = 30750561792. Its totient is φ = 3140352000.

The previous prime is 12211305409. The next prime is 12211305427. The reversal of 12211305414 is 41450311221.

It is a super-2 number, since 2×122113054142 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84187 + ... + 177510.

It is an arithmetic number, because the mean of its divisors is an integer number (480477528).

Almost surely, 212211305414 is an apocalyptic number.

12211305414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12211305414 is an abundant number, since it is smaller than the sum of its proper divisors (18539256378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12211305414 is a wasteful number, since it uses less digits than its factorization.

12211305414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261821.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 12211305414 its reverse (41450311221), we get a palindrome (53661616635).

The spelling of 12211305414 in words is "twelve billion, two hundred eleven million, three hundred five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 154 202 231 303 462 606 707 1111 1414 2121 2222 3333 4242 6666 7777 15554 23331 46662 261697 523394 785091 1570182 1831879 2878667 3663758 5495637 5757334 8636001 10991274 17272002 20150669 26431397 40301338 52862794 60452007 79294191 120904014 158588382 185019779 290745367 370039558 555059337 581490734 872236101 1110118674 1744472202 2035217569 4070435138 6105652707 12211305414