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1212220121220 = 2232541652125189
BaseRepresentation
bin10001101000111101111…
…100110010000010000100
311021212221201000120212200
4101220331330302002010
5124330111322334340
62324515232114500
7153402642006423
oct21507574620204
94255851016780
101212220121220
11428110724029
12176b2a095a30
138a409230174
14429594852ba
15217ec93c330
hex11a3df32084

1212220121220 has 144 divisors (see below), whose sum is σ = 3767479475760. Its totient is φ = 315313459200.

The previous prime is 1212220121219. The next prime is 1212220121237. The reversal of 1212220121220 is 221210222121.

It is a happy number.

1212220121220 is a `hidden beast` number, since 1 + 212 + 220 + 1 + 212 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48371844096 + 1163848277124 = 219936^2 + 1078818^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1212220121193 and 1212220121202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48112386 + ... + 48137574.

It is an arithmetic number, because the mean of its divisors is an integer number (26163051915).

Almost surely, 21212220121220 is an apocalyptic number.

1212220121220 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 1212220121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883739737880).

1212220121220 is an abundant number, since it is smaller than the sum of its proper divisors (2555259354540).

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

1212220121220 is a wasteful number, since it uses less digits than its factorization.

1212220121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31766 (or 31761 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1212220121220 its reverse (221210222121), we get a palindrome (1433430343341).

The spelling of 1212220121220 in words is "one trillion, two hundred twelve billion, two hundred twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 6521 7380 13042 19563 25189 26084 32605 39126 50378 58689 65210 75567 78252 97815 100756 117378 125945 130420 151134 195630 226701 234756 251890 267361 293445 302268 377835 391260 453402 503780 534722 586890 755670 802083 906804 1032749 1069444 1133505 1173780 1336805 1511340 1604166 2065498 2267010 2406249 2673610 3098247 3208332 4010415 4130996 4534020 4812498 5163745 5347220 6196494 8020830 9294741 9624996 10327490 12031245 12392988 15491235 16041660 18589482 20654980 24062490 30982470 37178964 46473705 48124980 61964940 92947410 164257469 185894820 328514938 492772407 657029876 821287345 985544814 1478317221 1642574690 1971089628 2463862035 2956634442 3285149380 4927724070 5913268884 6734556229 7391586105 9855448140 13469112458 14783172210 20203668687 26938224916 29566344420 33672781145 40407337374 60611006061 67345562290 80814674748 101018343435 121222012122 134691124580 202036686870 242444024244 303055030305 404073373740 606110060610 1212220121220