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12002203200220 = 2254121951182981
BaseRepresentation
bin1010111010100111101100…
…0011101110101011011100
31120111101210011210021022121
42232221323003232223130
53033121003004401340
641305422552152324
72346062532630532
oct256517303565334
946441704707277
1012002203200220
11390811889a832
12141a1356986a4
13690a58ca1a5c
142d6ca4450152
1515c31157094a
hexaea7b0eeadc

12002203200220 has 72 divisors (see below), whose sum is σ = 25847750404224. Its totient is φ = 4681360320000.

The previous prime is 12002203200161. The next prime is 12002203200223. The reversal of 12002203200220 is 2200230220021.

It is a junction number, because it is equal to n+sod(n) for n = 12002203200194 and 12002203200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002203200223) 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, 65501130 + ... + 65684110.

It is an arithmetic number, because the mean of its divisors is an integer number (358996533392).

Almost surely, 212002203200220 is an apocalyptic number.

12002203200220 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 12002203200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12923875202112).

12002203200220 is an abundant number, since it is smaller than the sum of its proper divisors (13845547204004).

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

12002203200220 is a wasteful number, since it uses less digits than its factorization.

12002203200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185023 (or 184980 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12002203200220 its reverse (2200230220021), we get a palindrome (14202433420241).

The spelling of 12002203200220 in words is "twelve trillion, two billion, two hundred three million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1681 1951 3362 3902 6724 7804 8405 9755 16810 19510 33620 39020 79991 159982 182981 319964 365962 399955 731924 799910 914905 1599820 1829810 3279631 3659620 6559262 7502221 13118524 15004442 16398155 30008884 32796310 37511105 65592620 75022210 150044420 307591061 356995931 615182122 713991862 1230364244 1427983724 1537955305 1784979655 3075910610 3569959310 6151821220 7139918620 14636833171 29273666342 58547332684 73184165855 146368331710 292736663420 600110160011 1200220320022 2400440640044 3000550800055 6001101600110 12002203200220