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12003302133200 = 2452714592938241
BaseRepresentation
bin1010111010101011110010…
…0011110100110111010000
31120111111121202121211222002
42232222330203310313100
53033130230321230300
641310124010133132
72346132005461010
oct256527443646720
946444552554862
1012003302133200
113908632146404
12141a3a17211a8
13690ba286ab61
142d6d6a391c40
1515c377c955d5
hexaeabc8f4dd0

12003302133200 has 120 divisors (see below), whose sum is σ = 32980238564160. Its totient is φ = 4112595763200.

The previous prime is 12003302133197. The next prime is 12003302133203. The reversal of 12003302133200 is 233120330021.

It is an interprime number because it is at equal distance from previous prime (12003302133197) and next prime (12003302133203).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003302133203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2616080 + ... + 5554320.

It is an arithmetic number, because the mean of its divisors is an integer number (274835321368).

Almost surely, 212003302133200 is an apocalyptic number.

12003302133200 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 12003302133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16490119282080).

12003302133200 is an abundant number, since it is smaller than the sum of its proper divisors (20976936430960).

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

12003302133200 is a wasteful number, since it uses less digits than its factorization.

12003302133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939725 (or 2939714 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12003302133200 its reverse (233120330021), we get a palindrome (12236422463221).

The spelling of 12003302133200 in words is "twelve trillion, three billion, three hundred two million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 1459 2800 2918 5836 7295 10213 11672 14590 20426 23344 29180 36475 40852 51065 58360 72950 81704 102130 116720 145900 163408 204260 255325 291800 408520 510650 583600 817040 1021300 2042600 2938241 4085200 5876482 11752964 14691205 20567687 23505928 29382410 41135374 47011856 58764820 73456025 82270748 102838435 117529640 146912050 164541496 205676870 235059280 293824100 329082992 411353740 514192175 587648200 822707480 1028384350 1175296400 1645414960 2056768700 4113537400 4286893619 8227074800 8573787238 17147574476 21434468095 30008255333 34295148952 42868936190 60016510666 68590297904 85737872380 107172340475 120033021332 150041276665 171475744760 214344680950 240066042664 300082553330 342951489520 428689361900 480132085328 600165106660 750206383325 857378723800 1200330213320 1500412766650 1714757447600 2400660426640 3000825533300 6001651066600 12003302133200