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12002222002200 = 23352165712072241
BaseRepresentation
bin1010111010100111110000…
…1011011101000000011000
31120111101211111011111210020
42232221330023131000120
53033121022313032300
641305424503150440
72346063151510023
oct256517413350030
946441744144706
1012002222002200
113908128471a61
12141a13ba45420
13690a5cb55aa1
142d6ca6b461ba
1515c3130368a0
hexaea7c2dd018

12002222002200 has 96 divisors (see below), whose sum is σ = 37229345658960. Its totient is φ = 3198660710400.

The previous prime is 12002222002187. The next prime is 12002222002247. The reversal of 12002222002200 is 220022220021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12002222002200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5041921 + ... + 7030320.

Almost surely, 212002222002200 is an apocalyptic number.

12002222002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002222002200 is an abundant number, since it is smaller than the sum of its proper divisors (25227123656760).

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

12002222002200 is a wasteful number, since it uses less digits than its factorization.

12002222002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12073917 (or 12073908 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 12002222002200 its reverse (220022220021), we get a palindrome (12222244222221).

The spelling of 12002222002200 in words is "twelve trillion, two billion, two hundred twenty-two million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1657 3314 4971 6628 8285 9942 13256 16570 19884 24855 33140 39768 41425 49710 66280 82850 99420 124275 165700 198840 248550 331400 497100 994200 12072241 24144482 36216723 48288964 60361205 72433446 96577928 120722410 144866892 181083615 241444820 289733784 301806025 362167230 482889640 603612050 724334460 905418075 1207224100 1448668920 1810836150 2414448200 3621672300 7243344600 20003703337 40007406674 60011110011 80014813348 100018516685 120022220022 160029626696 200037033370 240044440044 300055550055 400074066740 480088880088 500092583425 600111100110 800148133480 1000185166850 1200222200220 1500277750275 2000370333700 2400444400440 3000555500550 4000740667400 6001111001100 12002222002200