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12131323000 = 235331894397
BaseRepresentation
bin10110100110001010…
…10100110001111000
31011022110020001122021
423103011110301320
5144321104314000
65323440204224
7606424354426
oct132305246170
934273201567
1012131323000
1151658a7585
122426909674
1311b4424544
14831244116
154b006111a
hex2d3154c78

12131323000 has 128 divisors (see below), whose sum is σ = 29639001600. Its totient is φ = 4642176000.

The previous prime is 12131322991. The next prime is 12131323003. The reversal of 12131323000 is 32313121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131323003) 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, 2756802 + ... + 2761198.

It is an arithmetic number, because the mean of its divisors is an integer number (231554700).

Almost surely, 212131323000 is an apocalyptic number.

12131323000 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 12131323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819500800).

12131323000 is an abundant number, since it is smaller than the sum of its proper divisors (17507678600).

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

12131323000 is a wasteful number, since it uses less digits than its factorization.

12131323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12131323000 its reverse (32313121), we get a palindrome (12163636121).

The spelling of 12131323000 in words is "twelve billion, one hundred thirty-one million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 89 100 124 125 155 178 200 248 250 310 356 445 500 620 712 775 890 1000 1240 1550 1780 2225 2759 3100 3560 3875 4397 4450 5518 6200 7750 8794 8900 11036 11125 13795 15500 17588 17800 21985 22072 22250 27590 31000 35176 43970 44500 55180 68975 87940 89000 109925 110360 136307 137950 175880 219850 272614 275900 344875 391333 439700 545228 549625 551800 681535 689750 782666 879400 1090456 1099250 1363070 1379500 1565332 1956665 2198500 2726140 2759000 3130664 3407675 3913330 4397000 5452280 6815350 7826660 9783325 12131323 13630700 15653320 17038375 19566650 24262646 27261400 34076750 39133300 48525292 48916625 60656615 68153500 78266600 97050584 97833250 121313230 136307000 195666500 242626460 303283075 391333000 485252920 606566150 1213132300 1516415375 2426264600 3032830750 6065661500 12131323000