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12021330001000 = 235319981164489
BaseRepresentation
bin1010111011101110111100…
…0110101011110001101000
31120120020011011020102102111
42232323233012223301220
53033424140440013000
641322304530012104
72350340523021235
oct256735706536150
946506134212374
1012021330001000
113915243432301
121421993117034
136927b67a7a58
142d7b9a79478c
1515ca80805cba
hexaeeef1abc68

12021330001000 has 128 divisors (see below), whose sum is σ = 29613911184000. Its totient is φ = 4554916416000.

The previous prime is 12021330000997. The next prime is 12021330001001. The reversal of 12021330001000 is 10003312021.

It is not an unprimeable number, because it can be changed into a prime (12021330001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186376756 + ... + 186441244.

It is an arithmetic number, because the mean of its divisors is an integer number (231358681125).

Almost surely, 212021330001000 is an apocalyptic number.

12021330001000 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 12021330001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14806955592000).

12021330001000 is an abundant number, since it is smaller than the sum of its proper divisors (17592581183000).

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

12021330001000 is a wasteful number, since it uses less digits than its factorization.

12021330001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74340 (or 74326 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12021330001000 its reverse (10003312021), we get a palindrome (12031333313021).

The spelling of 12021330001000 in words is "twelve trillion, twenty-one billion, three hundred thirty million, one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 9811 19000 19622 39244 49055 64489 78488 98110 128978 186409 196220 245275 257956 322445 372818 392440 490550 515912 644890 745636 932045 981100 1225291 1226375 1289780 1491272 1612225 1864090 1962200 2450582 2452750 2579560 3224450 3728180 4660225 4901164 4905500 6126455 6448900 7456360 8061125 9320450 9802328 9811000 12252910 12897800 16122250 18640900 23301125 24505820 30632275 32244500 37281800 46602250 49011640 61264550 64489000 93204500 122529100 153161375 186409000 245058200 306322750 612645500 632701579 1225291000 1265403158 2530806316 3163507895 5061612632 6327015790 12021330001 12654031580 15817539475 24042660002 25308063160 31635078950 48085320004 60106650005 63270157900 79087697375 96170640008 120213300010 126540315800 158175394750 240426600020 300533250025 316350789500 480853200040 601066500050 632701579000 1202133000100 1502666250125 2404266000200 3005332500250 6010665000500 12021330001000