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10220220121120 = 255941247327449
BaseRepresentation
bin1001010010111001010010…
…0101110000000000100000
31100012001011201020111222121
42110232110211300000200
52314422002322333440
633423034310314024
72103246403444612
oct224562445600040
940161151214877
1010220220121120
1132904098aa519
1211908b7058914
135919bb632bb9
14274938834db2
1512acb861434a
hex94b94970020

10220220121120 has 96 divisors (see below), whose sum is σ = 24181584058800. Its totient is φ = 4081943592960.

The previous prime is 10220220121117. The next prime is 10220220121151. The reversal of 10220220121120 is 2112102202201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7542559162384 + 2677660958736 = 2746372^2 + 1636356^2 .

It is a super-2 number, since 2×102202201211202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10220220121094 and 10220220121103.

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, 372321156 + ... + 372348604.

Almost surely, 210220220121120 is an apocalyptic number.

10220220121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220220121120 is an abundant number, since it is smaller than the sum of its proper divisors (13961363937680).

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

10220220121120 is a wasteful number, since it uses less digits than its factorization.

10220220121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30878 (or 30870 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10220220121120 its reverse (2112102202201), we get a palindrome (12332322323321).

The spelling of 10220220121120 in words is "ten trillion, two hundred twenty billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 941 1882 2473 3764 4705 4946 7528 9410 9892 12365 15056 18820 19784 24730 27449 30112 37640 39568 49460 54898 75280 79136 98920 109796 137245 150560 197840 219592 274490 395680 439184 548980 878368 1097960 2195920 2327093 4391840 4654186 9308372 11635465 18616744 23270930 25829509 37233488 46541860 51659018 67881377 74466976 93083720 103318036 129147545 135762754 186167440 206636072 258295090 271525508 339406885 372334880 413272144 516590180 543051016 678813770 826544288 1033180360 1086102032 1357627540 2066360720 2172204064 2715255080 4132721440 5430510160 10861020320 63876375757 127752751514 255505503028 319381878785 511011006056 638763757570 1022022012112 1277527515140 2044044024224 2555055030280 5110110060560 10220220121120