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1222022102020 = 2251722322341221
BaseRepresentation
bin10001110010000110001…
…100010111110000000100
311022211020211011210201121
4101302012030113300010
5130010200124231040
62333220022403324
7154200563324056
oct21620614276004
94284224153647
101222022102020
11431290689305
12178a04890544
138b30bba7ac5
14432091bd8d6
1521bc3232c4a
hex11c86317c04

1222022102020 has 144 divisors (see below), whose sum is σ = 2857432531968. Its totient is φ = 438069012480.

The previous prime is 1222022102011. The next prime is 1222022102027. The reversal of 1222022102020 is 202012202221.

It is a junction number, because it is equal to n+sod(n) for n = 1222022101985 and 1222022102003.

It is not an unprimeable number, because it can be changed into a prime (1222022102027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29625010 + ... + 29666230.

It is an arithmetic number, because the mean of its divisors is an integer number (19843281472).

Almost surely, 21222022102020 is an apocalyptic number.

1222022102020 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 1222022102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428716265984).

1222022102020 is an abundant number, since it is smaller than the sum of its proper divisors (1635410429948).

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

1222022102020 is a wasteful number, since it uses less digits than its factorization.

1222022102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41510 (or 41491 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1222022102020 its reverse (202012202221), we get a palindrome (1424034304241).

It can be divided in two parts, 122202 and 2102020, that added together give a palindrome (2224222).

The spelling of 1222022102020 in words is "one trillion, two hundred twenty-two billion, twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 223 230 289 340 391 446 460 578 782 892 1115 1156 1445 1564 1955 2230 2890 3791 3910 4460 5129 5780 6647 7582 7820 10258 13294 15164 18955 20516 25645 26588 33235 37910 41221 51290 64447 66470 75820 82442 87193 102580 128894 132940 164884 174386 206105 257788 322235 348772 412210 435965 644470 700757 824420 871930 948083 1288940 1401514 1482281 1743860 1896166 2803028 2964562 3503785 3792332 4740415 5929124 7007570 7411405 9192283 9480830 11912869 14015140 14822810 16117411 18384566 18961660 23825738 29645620 32234822 36769132 45961415 47651476 59564345 64469644 80587055 91922830 119128690 156268811 161174110 183845660 211422509 238257380 273995987 312537622 322348220 422845018 547991974 625075244 781344055 845690036 1057112545 1095983948 1369979935 1562688110 2114225090 2656569787 2739959870 3125376220 3594182653 4228450180 5313139574 5479919740 7188365306 10626279148 13282848935 14376730612 17970913265 26565697870 35941826530 53131395740 61101105101 71883653060 122202210202 244404420404 305505525505 611011051010 1222022102020