Search a number
-
+
12021002000 = 245374718269
BaseRepresentation
bin10110011001000000…
…11110111100010000
31011000202122011200022
423030200132330100
5144104334031000
65304455443012
7603614555030
oct131440367420
934022564608
1012021002000
1151095a67a7
1223b5986468
131197609047
148207278c0
154a551d585
hex2cc81ef10

12021002000 has 160 divisors (see below), whose sum is σ = 33927828480. Its totient is φ = 4033574400.

The previous prime is 12021001999. The next prime is 12021002089. The reversal of 12021002000 is 20012021.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 648866 + ... + 667134.

It is an arithmetic number, because the mean of its divisors is an integer number (212048928).

Almost surely, 212021002000 is an apocalyptic number.

12021002000 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 12021002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963914240).

12021002000 is an abundant number, since it is smaller than the sum of its proper divisors (21906826480).

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

12021002000 is a wasteful number, since it uses less digits than its factorization.

12021002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18346 (or 18330 counting only the distinct ones).

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

Adding to 12021002000 its reverse (20012021), we get a palindrome (12041014021).

The spelling of 12021002000 in words is "twelve billion, twenty-one million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 47 50 56 70 80 94 100 112 125 140 175 188 200 235 250 280 329 350 376 400 470 500 560 658 700 752 875 940 1000 1175 1316 1400 1645 1750 1880 2000 2350 2632 2800 3290 3500 3760 4700 5264 5875 6580 7000 8225 9400 11750 13160 14000 16450 18269 18800 23500 26320 32900 36538 41125 47000 65800 73076 82250 91345 94000 127883 131600 146152 164500 182690 255766 292304 329000 365380 456725 511532 639415 658000 730760 858643 913450 1023064 1278830 1461520 1717286 1826900 2046128 2283625 2557660 3197075 3434572 3653800 4293215 4567250 5115320 6010501 6394150 6869144 7307600 8586430 9134500 10230640 12021002 12788300 13738288 15985375 17172860 18269000 21466075 24042004 25576600 30052505 31970750 34345720 36538000 42932150 48084008 51153200 60105010 63941500 68691440 85864300 96168016 107330375 120210020 127883000 150262525 171728600 214660750 240420040 255766000 300525050 343457200 429321500 480840080 601050100 751312625 858643000 1202100200 1502625250 1717286000 2404200400 3005250500 6010501000 12021002000