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12021010201312 = 257172473950911
BaseRepresentation
bin1010111011101101110000…
…0010101111101011100000
31120120012022212110220201121
42232323130002233223200
53033423012102420222
641322213103342024
72350326560535520
oct256733402575340
946505285426647
1012021010201312
113915099965042
121421903bb1914
13692765466a78
142d7b6a109680
1515ca626d55c7
hexaeedc0afae0

12021010201312 has 144 divisors (see below), whose sum is σ = 29343202172928. Its totient is φ = 4745643448320.

The previous prime is 12021010201301. The next prime is 12021010201423. The reversal of 12021010201312 is 21310201012021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1067137 + ... + 5018047.

It is an arithmetic number, because the mean of its divisors is an integer number (203772237312).

Almost surely, 212021010201312 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 12021010201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671601086464).

12021010201312 is an abundant number, since it is smaller than the sum of its proper divisors (17322191971616).

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

12021010201312 is a wasteful number, since it uses less digits than its factorization.

12021010201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951009 (or 3950984 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12021010201312 its reverse (21310201012021), we get a palindrome (33331211213333).

The spelling of 12021010201312 in words is "twelve trillion, twenty-one billion, ten million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 47 56 68 94 112 119 136 188 224 238 272 289 329 376 476 544 578 658 752 799 952 1156 1316 1504 1598 1904 2023 2312 2632 3196 3808 4046 4624 5264 5593 6392 8092 9248 10528 11186 12784 13583 16184 22372 25568 27166 32368 44744 54332 64736 89488 95081 108664 178976 190162 217328 380324 434656 760648 1521296 3042592 3950911 7901822 15803644 27656377 31607288 55312754 63214576 67165487 110625508 126429152 134330974 185692817 221251016 268661948 371385634 442502032 470158409 537323896 742771268 885004064 940316818 1074647792 1141813279 1299849719 1485542536 1880633636 2149295584 2283626558 2599699438 2971085072 3156777889 3761267272 4567253116 5199398876 5942170144 6313555778 7522534544 7992692953 9134506232 10398797752 12627111556 15045069088 15985385906 18269012464 20797595504 22097445223 25254223112 31970771812 36538024928 41595191008 44194890446 50508446224 53665224113 63941543624 88389780892 101016892448 107330448226 127883087248 176779561784 214660896452 255766174496 353559123568 375656568791 429321792904 707118247136 751313137582 858643585808 1502626275164 1717287171616 3005252550328 6010505100656 12021010201312