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12011023133221 = 7831011131811357
BaseRepresentation
bin1010111011001000100011…
…0001000110101000100101
31120112020112212001021211211
42232302020301012220211
53033242033410230341
641313442102031421
72346524231054110
oct256621061065045
946466485037754
1012011023133221
113910934482a62
12141b997418571
13691833356818
142d749d991577
1515c67aa2e181
hexaec88c46a25

12011023133221 has 32 divisors (see below), whose sum is σ = 14153980393728. Its totient is φ = 9981296102400.

The previous prime is 12011023133201. The next prime is 12011023133251. The reversal of 12011023133221 is 12233132011021.

It is not a de Polignac number, because 12011023133221 - 243 = 3214930111013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12011023133192 and 12011023133201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011023133201) 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, 5725275 + ... + 7536631.

It is an arithmetic number, because the mean of its divisors is an integer number (442311887304).

Almost surely, 212011023133221 is an apocalyptic number.

It is an amenable number.

12011023133221 is a deficient number, since it is larger than the sum of its proper divisors (2142957260507).

12011023133221 is a wasteful number, since it uses less digits than its factorization.

12011023133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811661.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12011023133221 its reverse (12233132011021), we get a palindrome (24244155144242).

The spelling of 12011023133221 in words is "twelve trillion, eleven billion, twenty-three million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 7 83 101 113 581 707 791 8383 9379 11413 58681 65653 79891 947279 1811357 6630953 12679499 150342631 182947057 204683341 1052398417 1280629399 1432783387 15184605731 16988717303 20673017441 106292240117 118921021121 144711122087 1715860447603 12011023133221