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12012222002000 = 245311249637281
BaseRepresentation
bin1010111011001101000000…
…1110011011001101010000
31120112100122101221010122012
42232303100032123031100
53033302012313031000
641314201050002052
72346566026221263
oct256632016331520
946470571833565
1012012222002000
11391139a186900
121420070a16328
1369199484312c
142d7574ca8cda
1515c6eade4735
hexaecd039b350

12012222002000 has 120 divisors (see below), whose sum is σ = 31926104135016. Its totient is φ = 4368080640000.

The previous prime is 12012222001993. The next prime is 12012222002023. The reversal of 12012222002000 is 20022221021.

It can be written as a sum of positive squares in 4 ways, for example, as 26417951296 + 11985804050704 = 162536^2 + 3462052^2 .

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, 24576641 + ... + 25060640.

Almost surely, 212012222002000 is an apocalyptic number.

12012222002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012222002000 is an abundant number, since it is smaller than the sum of its proper divisors (19913882133016).

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

12012222002000 is a wasteful number, since it uses less digits than its factorization.

12012222002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49637326 (or 49637299 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12012222002000 its reverse (20022221021), we get a palindrome (12032244223021).

It can be divided in two parts, 120122 and 22002000, that added together give a palindrome (22122122).

The spelling of 12012222002000 in words is "twelve trillion, twelve billion, two hundred twenty-two million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1375 1936 2000 2200 2420 2750 3025 4400 4840 5500 6050 9680 11000 12100 15125 22000 24200 30250 48400 60500 121000 242000 49637281 99274562 198549124 248186405 397098248 496372810 546010091 794196496 992745620 1092020182 1240932025 1985491240 2184040364 2481864050 2730050455 3970982480 4368080728 4963728100 5460100910 6006111001 6204660125 8736161456 9927456200 10920201820 12012222002 12409320250 13650252275 19854912400 21840403640 24024444004 24818640500 27300504550 30030555005 43680807280 48048888008 49637281000 54601009100 60061110010 68251261375 96097776016 99274562000 109202018200 120122220020 136502522750 150152775025 218404036400 240244440040 273005045500 300305550050 480488880080 546010091000 600611100100 750763875125 1092020182000 1201222200200 1501527750250 2402444400400 3003055500500 6006111001000 12012222002000