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500121556220120 = 235193724683720547
BaseRepresentation
bin111000110110110111001111…
…1101100111111100011011000
32102120210011011011001102121012
41301231232133230333203120
51011022442421343020440
64531400400545233052
7210225406246660112
oct16155563754774330
92376704134042535
10500121556220120
111353993a738711a
1248112aa9332788
131860a3500c5963
148b7002633c3b2
153cc4499305e65
hex1c6db9fb3f8d8

500121556220120 has 128 divisors (see below), whose sum is σ = 1216562867308800. Its totient is φ = 184389865744896.

The previous prime is 500121556220087. The next prime is 500121556220129. The reversal of 500121556220120 is 21022655121005.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500121556220129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693725687 + ... + 694446233.

It is an arithmetic number, because the mean of its divisors is an integer number (9504397400850).

Almost surely, 2500121556220120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500121556220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608281433654400).

500121556220120 is an abundant number, since it is smaller than the sum of its proper divisors (716441311088680).

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

500121556220120 is a wasteful number, since it uses less digits than its factorization.

500121556220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745297 (or 745293 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 500121556220120 in words is "five hundred trillion, one hundred twenty-one billion, five hundred fifty-six million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 703 740 760 1406 1480 2812 3515 5624 7030 14060 24683 28120 49366 98732 123415 197464 246830 468977 493660 720547 913271 937954 987320 1441094 1826542 1875908 2344885 2882188 3602735 3653084 3751816 4566355 4689770 5764376 7205470 7306168 9132710 9379540 13690393 14410940 17352149 18265420 18759080 26660239 27380786 28821880 34704298 36530840 53320478 54761572 68451965 69408596 86760745 106640956 109523144 133301195 136903930 138817192 173521490 213281912 266602390 273807860 347042980 506544541 533204780 547615720 694085960 1013089082 1066409560 2026178164 2532722705 4052356328 5065445410 10130890820 17785261601 20261781640 35570523202 71141046404 88926308005 142282092808 177852616010 337919970419 355705232020 658054679237 675839940838 711410464040 1316109358474 1351679881676 1689599852095 2632218716948 2703359763352 3290273396185 3379199704190 5264437433896 6580546792370 6758399408380 12503038905503 13161093584740 13516798816760 25006077811006 26322187169480 50012155622012 62515194527515 100024311244024 125030389055030 250060778110060 500121556220120