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12001001002000 = 245373211389567
BaseRepresentation
bin1010111010100011001101…
…1001101101010000010000
31120111021200101122021101121
42232220303121231100100
53033111022224031000
641305103405012024
72346020664255463
oct256506331552020
946437611567347
1012001001002000
11390766122248a
121419a5ab54014
136908c6bbab6a
142d6bcc90b2da
1515c290c4db1a
hexaea3366d410

12001001002000 has 160 divisors (see below), whose sum is σ = 29555420903424. Its totient is φ = 4712190336000.

The previous prime is 12001001001967. The next prime is 12001001002019. The reversal of 12001001002000 is 20010010021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30611217 + ... + 31000783.

Almost surely, 212001001002000 is an apocalyptic number.

12001001002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001001002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14777710451712).

12001001002000 is an abundant number, since it is smaller than the sum of its proper divisors (17554419901424).

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

12001001002000 is a wasteful number, since it uses less digits than its factorization.

12001001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389874 (or 389858 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12001001002000 its reverse (20010010021), we get a palindrome (12021011012021).

The spelling of 12001001002000 in words is "twelve trillion, one billion, one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 211 250 292 365 400 422 500 584 730 844 1000 1055 1168 1460 1688 1825 2000 2110 2920 3376 3650 4220 5275 5840 7300 8440 9125 10550 14600 15403 16880 18250 21100 26375 29200 30806 36500 42200 52750 61612 73000 77015 84400 105500 123224 146000 154030 211000 246448 308060 385075 389567 422000 616120 770150 779134 1232240 1540300 1558268 1925375 1947835 3080600 3116536 3850750 3895670 6161200 6233072 7701500 7791340 9739175 15403000 15582680 19478350 28438391 30806000 31165360 38956700 48695875 56876782 77913400 82198637 97391750 113753564 142191955 155826800 164397274 194783500 227507128 284383910 328794548 389567000 410993185 455014256 568767820 657589096 710959775 779134000 821986370 1137535640 1315178192 1421919550 1643972740 2054965925 2275071280 2843839100 3287945480 3554798875 4109931850 5687678200 6000500501 6575890960 7109597750 8219863700 10274829625 11375356400 12001001002 14219195500 16439727400 20549659250 24002002004 28438391000 30002502505 32879454800 41099318500 48004004008 56876782000 60005005010 82198637000 96008008016 120010010020 150012512525 164397274000 240020020040 300025025050 480040040080 600050050100 750062562625 1200100100200 1500125125250 2400200200400 3000250250500 6000500501000 12001001002000