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12022322131332 = 22322371292036711
BaseRepresentation
bin1010111011110010101000…
…1111010111000110000100
31120120022201022002212101100
42232330222033113012010
53033433203431200312
641322551210500100
72350404231004422
oct256745217270604
946508638085340
1012022322131332
113915702470527
12142200b434630
136929141bac16
142d7c52454112
1515cadc9805dc
hexaef2a3d7184

12022322131332 has 72 divisors (see below), whose sum is σ = 31715516327040. Its totient is φ = 3832664584320.

The previous prime is 12022322131331. The next prime is 12022322131409. The reversal of 12022322131332 is 23313122322021.

12022322131332 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 2 + 322 + 1 + 3 + 1 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12022322131296 and 12022322131305.

It is not an unprimeable number, because it can be changed into a prime (12022322131331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4884457 + ... + 6921167.

It is an arithmetic number, because the mean of its divisors is an integer number (440493282320).

Almost surely, 212022322131332 is an apocalyptic number.

12022322131332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12022322131332 is an abundant number, since it is smaller than the sum of its proper divisors (19693194195708).

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

12022322131332 is a wasteful number, since it uses less digits than its factorization.

12022322131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043873 (or 2043868 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12022322131332 its reverse (23313122322021), we get a palindrome (35335444453353).

The spelling of 12022322131332 in words is "twelve trillion, twenty-two billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 7129 14258 21387 28516 42774 64161 85548 128322 163967 256644 327934 491901 655868 983802 1475703 1967604 2036711 2951406 4073422 5902812 6110133 8146844 12220266 18330399 24440532 36660798 46844353 73321596 93688706 140533059 187377412 281066118 421599177 562132236 843198354 1686396708 14519712719 29039425438 43559138157 58078850876 87118276314 130677414471 174236552628 261354828942 333953392537 522709657884 667906785074 1001860177611 1335813570148 2003720355222 3005580532833 4007440710444 6011161065666 12022322131332