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12000531000 = 233534918147
BaseRepresentation
bin10110010110100100…
…11001001000111000
31010222100010010202010
423023102121020320
5144034113443000
65302445005520
7603245554563
oct131322311070
933870103663
1012000531000
1150a8a94617
1223aab538a0
1311932bc423
1481bb194da
154a3827d50
hex2cb499238

12000531000 has 128 divisors (see below), whose sum is σ = 37522517760. Its totient is φ = 3193232000.

The previous prime is 12000530999. The next prime is 12000531079. The reversal of 12000531000 is 13500021.

It is a super-2 number, since 2×120005310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1468927 + ... + 1477073.

It is an arithmetic number, because the mean of its divisors is an integer number (293144670).

Almost surely, 212000531000 is an apocalyptic number.

12000531000 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 12000531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18761258880).

12000531000 is an abundant number, since it is smaller than the sum of its proper divisors (25521986760).

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

12000531000 is a wasteful number, since it uses less digits than its factorization.

12000531000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8662 (or 8648 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The spelling of 12000531000 in words is "twelve billion, five hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 491 500 600 750 982 1000 1473 1500 1964 2455 2946 3000 3928 4910 5892 7365 8147 9820 11784 12275 14730 16294 19640 24441 24550 29460 32588 36825 40735 48882 49100 58920 61375 65176 73650 81470 97764 98200 122205 122750 147300 162940 184125 195528 203675 244410 245500 294600 325880 368250 407350 488820 491000 611025 736500 814700 977640 1018375 1222050 1473000 1629400 2036750 2444100 3055125 4000177 4073500 4888200 6110250 8000354 8147000 12000531 12220500 16000708 20000885 24001062 24441000 32001416 40001770 48002124 60002655 80003540 96004248 100004425 120005310 160007080 200008850 240010620 300013275 400017700 480021240 500022125 600026550 800035400 1000044250 1200053100 1500066375 2000088500 2400106200 3000132750 4000177000 6000265500 12000531000