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12231213000 = 2335315232677
BaseRepresentation
bin10110110010000100…
…10111111111001000
31011120102011222221220
423121002113333020
5200022142304000
65341405202040
7612046411056
oct133102277710
934512158856
1012231213000
1152072233a6
122454260320
1311cc029c56
148406071d6
154b8be31a0
hex2d9097fc8

12231213000 has 128 divisors (see below), whose sum is σ = 38200705920. Its totient is φ = 3258297600.

The previous prime is 12231212993. The next prime is 12231213011. The reversal of 12231213000 is 31213221.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 4567662 + ... + 4570338.

It is an arithmetic number, because the mean of its divisors is an integer number (298443015).

Almost surely, 212231213000 is an apocalyptic number.

12231213000 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 12231213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19100352960).

12231213000 is an abundant number, since it is smaller than the sum of its proper divisors (25969492920).

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

12231213000 is a wasteful number, since it uses less digits than its factorization.

12231213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12231213000 its reverse (31213221), we get a palindrome (12262426221).

The spelling of 12231213000 in words is "twelve billion, two hundred thirty-one million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1523 2677 3000 3046 4569 5354 6092 7615 8031 9138 10708 12184 13385 15230 16062 18276 21416 22845 26770 30460 32124 36552 38075 40155 45690 53540 60920 64248 66925 76150 80310 91380 107080 114225 133850 152300 160620 182760 190375 200775 228450 267700 304600 321240 334625 380750 401550 456900 535400 571125 669250 761500 803100 913800 1003875 1142250 1338500 1523000 1606200 2007750 2284500 2677000 4015500 4077071 4569000 8031000 8154142 12231213 16308284 20385355 24462426 32616568 40770710 48924852 61156065 81541420 97849704 101926775 122312130 163082840 203853550 244624260 305780325 407707100 489248520 509633875 611560650 815414200 1019267750 1223121300 1528901625 2038535500 2446242600 3057803250 4077071000 6115606500 12231213000