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220202012221120 = 26523931144725121
BaseRepresentation
bin110010000100010111000110…
…101101111001111011000000
31001212200002212211201200011201
4302010113012231321323000
5212330242210112033440
62100155224034350544
764245033066025336
oct6204270655717300
91055602784650151
10220202012221120
1164188170276046
122084476042b454
1395b3c64727967
143c53b972bdb56
151a6ce5dd7319a
hexc845c6b79ec0

220202012221120 has 112 divisors (see below), whose sum is σ = 524641872581568. Its totient is φ = 88032801259520.

The previous prime is 220202012221013. The next prime is 220202012221129. The reversal of 220202012221120 is 21122210202022.

It is not an unprimeable number, because it can be changed into a prime (220202012221129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8765642160 + ... + 8765667280.

It is an arithmetic number, because the mean of its divisors is an integer number (4684302433764).

Almost surely, 2220202012221120 is an apocalyptic number.

220202012221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220202012221120 is an abundant number, since it is smaller than the sum of its proper divisors (304439860360448).

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

220202012221120 is a wasteful number, since it uses less digits than its factorization.

220202012221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38978 (or 38968 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 220202012221120 its reverse (21122210202022), we get a palindrome (241324222423142).

The spelling of 220202012221120 in words is "two hundred twenty trillion, two hundred two billion, twelve million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2393 4786 9572 11447 11965 19144 22894 23930 25121 38288 45788 47860 50242 57235 76576 91576 95720 100484 114470 125605 153152 183152 191440 200968 228940 251210 366304 382880 401936 457880 502420 732608 765760 803872 915760 1004840 1607744 1831520 2009680 3663040 4019360 8038720 27392671 54785342 60114553 109570684 120229106 136963355 219141368 240458212 273926710 287560087 300572765 438282736 480916424 547853420 575120174 601145530 876565472 961832848 1095706840 1150240348 1202291060 1437800435 1753130944 1923665696 2191413680 2300480696 2404582120 2875600870 3847331392 4382827360 4600961392 4809164240 5751201740 8765654720 9201922784 9618328480 11502403480 18403845568 19236656960 23004806960 46009613920 92019227840 688131288191 1376262576382 2752525152764 3440656440955 5505050305528 6881312881910 11010100611056 13762625763820 22020201222112 27525251527640 44040402444224 55050503055280 110101006110560 220202012221120