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12003221340 = 223251118133493
BaseRepresentation
bin10110010110111001…
…01001111101011100
31010222112011211012100
423023130221331130
5144040311040330
65303022405100
7603310461255
oct131334517534
933875154170
1012003221340
1150aa561940
1223aba30790
131193a21b46
1481c219b2c
154a3baa060
hex2cb729f5c

12003221340 has 144 divisors (see below), whose sum is σ = 39940389216. Its totient is φ = 2893708800.

The previous prime is 12003221339. The next prime is 12003221341. The reversal of 12003221340 is 4312230021.

12003221340 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 322 + 1 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (12003221339) and next prime (12003221341).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003221341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341634 + ... + 375126.

It is an arithmetic number, because the mean of its divisors is an integer number (277363814).

Almost surely, 212003221340 is an apocalyptic number.

12003221340 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 12003221340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970194608).

12003221340 is an abundant number, since it is smaller than the sum of its proper divisors (27937167876).

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

12003221340 is a wasteful number, since it uses less digits than its factorization.

12003221340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33700 (or 33695 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12003221340 its reverse (4312230021), we get a palindrome (16315451361).

The spelling of 12003221340 in words is "twelve billion, three million, two hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 181 198 220 330 362 396 495 543 660 724 905 990 1086 1629 1810 1980 1991 2172 2715 3258 3620 3982 5430 5973 6516 7964 8145 9955 10860 11946 16290 17919 19910 23892 29865 32580 33493 35838 39820 59730 66986 71676 89595 100479 119460 133972 167465 179190 200958 301437 334930 358380 368423 401916 502395 602874 669860 736846 1004790 1105269 1205748 1473692 1507185 1842115 2009580 2210538 3014370 3315807 3684230 4421076 5526345 6028740 6062233 6631614 7368460 11052690 12124466 13263228 16579035 18186699 22105380 24248932 30311165 33158070 36373398 54560097 60622330 66316140 66684563 72746796 90933495 109120194 121244660 133369126 181866990 200053689 218240388 266738252 272800485 333422815 363733980 400107378 545600970 600161067 666845630 800214756 1000268445 1091201940 1200322134 1333691260 2000536890 2400644268 3000805335 4001073780 6001610670 12003221340