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12010011212200 = 2352132137454453
BaseRepresentation
bin1010111011000100110001…
…1100111011100110101000
31120112010221022221101011111
42232301030130323212220
53033233000332242300
641313153433040104
72346460162633051
oct256611434734650
946463838841144
1012010011212200
1139104652577a1
12141b754556034
136917018045a1
142d740541d728
1515c61bc959ba
hexaec4c73b9a8

12010011212200 has 48 divisors (see below), whose sum is σ = 27923548833180. Its totient is φ = 4803957557760.

The previous prime is 12010011212137. The next prime is 12010011212239. The reversal of 12010011212200 is 221211001021.

It can be written as a sum of positive squares in 6 ways, for example, as 4141526185476 + 7868485026724 = 2035074^2 + 2805082^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26200174 + ... + 26654626.

Almost surely, 212010011212200 is an apocalyptic number.

12010011212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010011212200 is an abundant number, since it is smaller than the sum of its proper divisors (15913537620980).

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

12010011212200 is a wasteful number, since it uses less digits than its factorization.

12010011212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586606 (or 586597 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12010011212200 its reverse (221211001021), we get a palindrome (12231222213221).

The spelling of 12010011212200 in words is "twelve trillion, ten billion, eleven million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 132137 264274 454453 528548 660685 908906 1057096 1321370 1817812 2272265 2642740 3303425 3635624 4544530 5285480 6606850 9089060 11361325 13213700 18178120 22722650 26427400 45445300 90890600 60050056061 120100112122 240200224244 300250280305 480400448488 600500560610 1201001121220 1501251401525 2402002242440 3002502803050 6005005606100 12010011212200