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12201001021000 = 2353111636804797
BaseRepresentation
bin1011000110001100010001…
…0101001110111001001000
31121012101220201221220221201
42301203010111032321020
53044400122230133000
641541021255313544
72366331115342051
oct261430425167110
947171821856851
1012201001021000
113984462aa6990
12145077667b8b4
136a671b21587c
143027629d5728
151625991c896a
hexb18c454ee48

12201001021000 has 128 divisors (see below), whose sum is σ = 31336911365760. Its totient is φ = 4409507808000.

The previous prime is 12201001020959. The next prime is 12201001021043. The reversal of 12201001021000 is 12010010221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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, 1609399 + ... + 5195398.

It is an arithmetic number, because the mean of its divisors is an integer number (244819620045).

Almost surely, 212201001021000 is an apocalyptic number.

12201001021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201001021000 is an abundant number, since it is smaller than the sum of its proper divisors (19135910344760).

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

12201001021000 is a wasteful number, since it uses less digits than its factorization.

12201001021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6804992 (or 6804978 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12201001021000 its reverse (12010010221), we get a palindrome (12213011031221).

The spelling of 12201001021000 in words is "twelve trillion, two hundred one billion, one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 163 200 220 250 275 326 440 500 550 652 815 1000 1100 1304 1375 1630 1793 2200 2750 3260 3586 4075 5500 6520 7172 8150 8965 11000 14344 16300 17930 20375 32600 35860 40750 44825 71720 81500 89650 163000 179300 224125 358600 448250 896500 1793000 6804797 13609594 27219188 34023985 54438376 68047970 74852767 136095940 149705534 170119925 272191880 299411068 340239850 374263835 598822136 680479700 748527670 850599625 1109181911 1360959400 1497055340 1701199250 1871319175 2218363822 2994110680 3402398500 3742638350 4436727644 5545909555 6804797000 7485276700 8873455288 9356595875 11091819110 12201001021 14970553400 18713191750 22183638220 24402002042 27729547775 37426383500 44367276440 48804004084 55459095550 61005005105 74852767000 97608008168 110918191100 122010010210 138647738875 221836382200 244020020420 277295477750 305025025525 488040040840 554590955500 610050051050 1109181911000 1220100102100 1525125127625 2440200204200 3050250255250 6100500510500 12201001021000