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12002031222000 = 243535933904043
BaseRepresentation
bin1010111010100111000011…
…0011101011110011110000
31120111101100012011212112220
42232221300303223303300
53033120124443101000
641305353530121040
72346055344062361
oct256516063536360
946441305155486
1012002031222000
11390803a806a76
12141a0a7b80180
13690a2c4791b1
142d6c89683b68
1515c3013ee1a0
hexaea70cebcf0

12002031222000 has 160 divisors (see below), whose sum is σ = 39350389628160. Its totient is φ = 3146295097600.

The previous prime is 12002031221969. The next prime is 12002031222001. The reversal of 12002031222000 is 22213020021.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002031222001) 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, 16598022 + ... + 17306021.

It is an arithmetic number, because the mean of its divisors is an integer number (245939935176).

Almost surely, 212002031222000 is an apocalyptic number.

12002031222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002031222000 is an abundant number, since it is smaller than the sum of its proper divisors (27348358406160).

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

12002031222000 is a wasteful number, since it uses less digits than its factorization.

12002031222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33904128 (or 33904112 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12002031222000 its reverse (22213020021), we get a palindrome (12024244242021).

The spelling of 12002031222000 in words is "twelve trillion, two billion, thirty-one million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 59 60 75 80 100 118 120 125 150 177 200 236 240 250 295 300 354 375 400 472 500 590 600 708 750 885 944 1000 1180 1200 1416 1475 1500 1770 2000 2360 2832 2950 3000 3540 4425 4720 5900 6000 7080 7375 8850 11800 14160 14750 17700 22125 23600 29500 35400 44250 59000 70800 88500 118000 177000 354000 33904043 67808086 101712129 135616172 169520215 203424258 271232344 339040430 406848516 508560645 542464688 678080860 813697032 847601075 1017121290 1356161720 1627394064 1695202150 2000338537 2034242580 2542803225 2712323440 3390404300 4000677074 4068485160 4238005375 5085606450 6001015611 6780808600 8001354148 8136970320 8476010750 10001692685 10171212900 12002031222 12714016125 13561617200 16002708296 16952021500 20003385370 20342425800 24004062444 25428032250 30005078055 32005416592 33904043000 40006770740 40684851600 48008124888 50008463425 50856064500 60010156110 67808086000 80013541480 96016249776 100016926850 101712129000 120020312220 150025390275 160027082960 200033853700 203424258000 240040624440 250042317125 300050780550 400067707400 480081248880 500084634250 600101561100 750126951375 800135414800 1000169268500 1200203122200 1500253902750 2000338537000 2400406244400 3000507805500 4000677074000 6001015611000 12002031222000