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12022213122320 = 2454710493048043
BaseRepresentation
bin1010111011110010001110…
…1111100001100100010000
31120120022102200222122010112
42232330203233201210100
53033432443024403240
641322532314220452
72350401435311042
oct256744357414420
946508380878115
1012022213122320
113915656986435
121421b9aa24728
136928c774194b
142d7c41b99a92
1515cad30eb665
hexaef23be1910

12022213122320 has 80 divisors (see below), whose sum is σ = 28573583673600. Its totient is φ = 4702080279552.

The previous prime is 12022213122289. The next prime is 12022213122433. The reversal of 12022213122320 is 2322131222021.

It is a happy number.

12022213122320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2420219 + ... + 5468261.

It is an arithmetic number, because the mean of its divisors is an integer number (357169795920).

Almost surely, 212022213122320 is an apocalyptic number.

12022213122320 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 12022213122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14286791836800).

12022213122320 is an abundant number, since it is smaller than the sum of its proper divisors (16551370551280).

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

12022213122320 is a wasteful number, since it uses less digits than its factorization.

12022213122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049152 (or 3049146 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12022213122320 its reverse (2322131222021), we get a palindrome (14344344344341).

The spelling of 12022213122320 in words is "twelve trillion, twenty-two billion, two hundred thirteen million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1049 1880 2098 3760 4196 5245 8392 10490 16784 20980 41960 49303 83920 98606 197212 246515 394424 493030 788848 986060 1972120 3048043 3944240 6096086 12192172 15240215 24384344 30480430 48768688 60960860 121921720 143258021 243843440 286516042 573032084 716290105 1146064168 1432580210 2292128336 2865160420 3197397107 5730320840 6394794214 11460641680 12789588428 15986985535 25579176856 31973971070 51158353712 63947942140 127895884280 150277664029 255791768560 300555328058 601110656116 751388320145 1202221312232 1502776640290 2404442624464 3005553280580 6011106561160 12022213122320