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12211330221311 = 1329412327933937
BaseRepresentation
bin1011000110110010110000…
…0000000000010011111111
31121020101120121011200000012
42301230230000000103333
53100032301014040221
641545450242053435
72400145101161504
oct261545400002377
947211517150005
1012211330221311
113988883619a71
12145277994a27b
136a76a6185b10
1430306276d4ab
151629a0e1265b
hexb1b2c0004ff

12211330221311 has 32 divisors (see below), whose sum is σ = 13936951929600. Its totient is φ = 10617092075520.

The previous prime is 12211330221283. The next prime is 12211330221323. The reversal of 12211330221311 is 11312203311221.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211330221311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211330221331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359806535 + ... + 359840471.

It is an arithmetic number, because the mean of its divisors is an integer number (435529747800).

Almost surely, 212211330221311 is an apocalyptic number.

12211330221311 is a deficient number, since it is larger than the sum of its proper divisors (1725621708289).

12211330221311 is a wasteful number, since it uses less digits than its factorization.

12211330221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57299.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 12211330221311 its reverse (11312203311221), we get a palindrome (23523533532532).

The spelling of 12211330221311 in words is "twelve trillion, two hundred eleven billion, three hundred thirty million, two hundred twenty-one thousand, three hundred eleven".

Divisors: 1 13 29 41 377 533 1189 15457 23279 33937 302627 441181 675091 954439 984173 1391417 8776183 12407707 12794249 18088421 27678731 40351093 359823503 524564209 790019423 10270252499 22910563267 32390796343 297837322471 421080352459 939333093947 12211330221311