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12212212011000 = 2335329140370253
BaseRepresentation
bin1011000110110110000010…
…0011110000111111111000
31121020110212001102020001120
42301231200203300333320
53100041102233323000
641550113541545240
72400205666234101
oct261554043607770
947213761366046
1012212212011000
113989196343681
121452985115220
136a77b6a74871
143031079093a8
15162a035436a0
hexb1b608f0ff8

12212212011000 has 128 divisors (see below), whose sum is σ = 39415967323200. Its totient is φ = 3144293644800.

The previous prime is 12212212010909. The next prime is 12212212011019. The reversal of 12212212011000 is 11021221221.

It is a super-2 number, since 2×122122120110002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 70098127 + ... + 70272126.

Almost surely, 212212212011000 is an apocalyptic number.

12212212011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212212011000 is an abundant number, since it is smaller than the sum of its proper divisors (27203755312200).

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

12212212011000 is a wasteful number, since it uses less digits than its factorization.

12212212011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140370306 (or 140370292 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12212212011000 its reverse (11021221221), we get a palindrome (12223233232221).

The spelling of 12212212011000 in words is "twelve trillion, two hundred twelve billion, two hundred twelve million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 17400 21750 29000 43500 87000 140370253 280740506 421110759 561481012 701851265 842221518 1122962024 1403702530 1684443036 2105553795 2807405060 3368886072 3509256325 4070737337 4211107590 5614810120 7018512650 8141474674 8422215180 10527768975 12212212011 14037025300 16282949348 16844430360 17546281625 20353686685 21055537950 24424424022 28074050600 32565898696 35092563250 40707373370 42111075900 48848848044 52638844875 61061060055 70185126500 81414746740 84222151800 97697696088 101768433425 105277689750 122122120110 140370253000 162829493480 203536866850 210555379500 244244240220 305305300275 407073733700 421110759000 488488480440 508842167125 610610600550 814147467400 1017684334250 1221221201100 1526526501375 2035368668500 2442442402200 3053053002750 4070737337000 6106106005500 12212212011000