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1322012333312 = 2811701669707
BaseRepresentation
bin10011001111001110000…
…100110101010100000000
311200101100022102211211022
4103033032010311110000
5133124440124131222
62451154000205012
7164340461265266
oct23171604652400
94611308384738
101322012333312
1146a731551aa0
1219426b309768
1397885677038
1447db2c1a436
15245c668d042
hex133ce135500

1322012333312 has 72 divisors (see below), whose sum is σ = 2882867918112. Its totient is φ = 600056576000.

The previous prime is 1322012333303. The next prime is 1322012333381. The reversal of 1322012333312 is 2133332102231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1639163 + ... + 2308869.

It is an arithmetic number, because the mean of its divisors is an integer number (40039832196).

Almost surely, 21322012333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322012333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441433959056).

1322012333312 is an abundant number, since it is smaller than the sum of its proper divisors (1560855584800).

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

1322012333312 is an equidigital number, since it uses as much as digits as its factorization.

1322012333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670435 (or 670421 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 1322012333312 its reverse (2133332102231), we get a palindrome (3455344435543).

The spelling of 1322012333312 in words is "one trillion, three hundred twenty-two billion, twelve million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 701 704 1402 1408 2804 2816 5608 7711 11216 15422 22432 30844 44864 61688 89728 123376 179456 246752 493504 669707 987008 1339414 1974016 2678828 5357656 7366777 10715312 14733554 21430624 29467108 42861248 58934216 85722496 117868432 171444992 235736864 469464607 471473728 938929214 942947456 1877858428 1885894912 3755716856 5164110677 7511433712 10328221354 15022867424 20656442708 30045734848 41312885416 60091469696 82625770832 120182939392 165251541664 330503083328 661006166656 1322012333312