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12303121000 = 2353176771069
BaseRepresentation
bin10110111010101001…
…01011101001101000
31011202102111022012011
423131110223221220
5200144044333000
65352454325304
7613611542302
oct133524535150
934672438164
1012303121000
1152438779a5
122474359834
131210bb6071
14849da4972
154c01992ba
hex2dd52ba68

12303121000 has 128 divisors (see below), whose sum is σ = 30556375200. Its totient is φ = 4620595200.

The previous prime is 12303120989. The next prime is 12303121057. The reversal of 12303121000 is 12130321.

It can be written as a sum of positive squares in 16 ways, for example, as 893890404 + 11409230596 = 29898^2 + 106814^2 .

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, 11508466 + ... + 11509534.

Almost surely, 212303121000 is an apocalyptic number.

12303121000 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 12303121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15278187600).

12303121000 is an abundant number, since it is smaller than the sum of its proper divisors (18253254200).

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

12303121000 is a wasteful number, since it uses less digits than its factorization.

12303121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1770 counting only the distinct ones).

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

Adding to 12303121000 its reverse (12130321), we get a palindrome (12315251321).

The spelling of 12303121000 in words is "twelve billion, three hundred three million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 677 680 850 1000 1069 1354 1700 2125 2138 2708 3385 3400 4250 4276 5345 5416 6770 8500 8552 10690 11509 13540 16925 17000 18173 21380 23018 26725 27080 33850 36346 42760 46036 53450 57545 67700 72692 84625 90865 92072 106900 115090 133625 135400 145384 169250 181730 213800 230180 267250 287725 338500 363460 454325 460360 534500 575450 677000 723713 726920 908650 1069000 1150900 1438625 1447426 1817300 2271625 2301800 2877250 2894852 3618565 3634600 4543250 5754500 5789704 7237130 9086500 11509000 12303121 14474260 18092825 18173000 24606242 28948520 36185650 49212484 61515605 72371300 90464125 98424968 123031210 144742600 180928250 246062420 307578025 361856500 492124840 615156050 723713000 1230312100 1537890125 2460624200 3075780250 6151560500 12303121000