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12325366822000 = 245323647414131
BaseRepresentation
bin1011001101011011100100…
…0111000111010001110000
31121122021221000011012112111
42303112321013013101300
53103414322401301000
642114110110135104
72411323036245211
oct263267107072160
947567830135474
1012325366822000
113a22182281a01
1214708a44b1494
136b537aa4a92b
1430879dab3408
151659275aecba
hexb35b91c7470

12325366822000 has 160 divisors (see below), whose sum is σ = 31146649058304. Its totient is φ = 4708492448000.

The previous prime is 12325366821997. The next prime is 12325366822037. The reversal of 12325366822000 is 22866352321.

12325366822000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 29554935 + ... + 29969065.

Almost surely, 212325366822000 is an apocalyptic number.

12325366822000 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 12325366822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573324529152).

12325366822000 is an abundant number, since it is smaller than the sum of its proper divisors (18821282236304).

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

12325366822000 is a wasteful number, since it uses less digits than its factorization.

12325366822000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414824 (or 414808 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 12325366822000 in words is "twelve trillion, three hundred twenty-five billion, three hundred sixty-six million, eight hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 647 920 1000 1150 1294 1840 2000 2300 2588 2875 3235 4600 5176 5750 6470 9200 10352 11500 12940 14881 16175 23000 25880 29762 32350 46000 51760 59524 64700 74405 80875 119048 129400 148810 161750 238096 258800 297620 323500 372025 414131 595240 647000 744050 828262 1190480 1294000 1488100 1656524 1860125 2070655 2976200 3313048 3720250 4141310 5952400 6626096 7440500 8282620 9525013 10353275 14881000 16565240 19050026 20706550 29762000 33130480 38100052 41413100 47625065 51766375 76200104 82826200 95250130 103532750 152400208 165652400 190500260 207065500 238125325 267942757 381000520 414131000 476250650 535885514 762001040 828262000 952501300 1071771028 1190626625 1339713785 1905002600 2143542056 2381253250 2679427570 3810005200 4287084112 4762506500 5358855140 6162683411 6698568925 9525013000 10717710280 12325366822 13397137850 19050026000 21435420560 24650733644 26794275700 30813417055 33492844625 49301467288 53588551400 61626834110 66985689250 98602934576 107177102800 123253668220 133971378500 154067085275 246507336440 267942757000 308134170550 493014672880 535885514000 616268341100 770335426375 1232536682200 1540670852750 2465073364400 3081341705500 6162683411000 12325366822000