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12221021020 = 225132317311813
BaseRepresentation
bin10110110000110110…
…11111101101011100
31011112201000012012011
423120123133231130
5200012040133040
65340402521004
7611563651615
oct133033375534
934481005164
1012221021020
1152014a1a7a
122450966164
1311c9b9bbb0
1483d112c0c
154b7d7d3ea
hex2d86dfb5c

12221021020 has 96 divisors (see below), whose sum is σ = 29009135232. Its totient is φ = 4290874368.

The previous prime is 12221020969. The next prime is 12221021053. The reversal of 12221021020 is 2012012221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028634 + ... + 1040446.

It is an arithmetic number, because the mean of its divisors is an integer number (302178492).

Almost surely, 212221021020 is an apocalyptic number.

12221021020 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 12221021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504567616).

12221021020 is an abundant number, since it is smaller than the sum of its proper divisors (16788114212).

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

12221021020 is a wasteful number, since it uses less digits than its factorization.

12221021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12031 (or 12029 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12221021020 its reverse (2012012221), we get a palindrome (14233033241).

The spelling of 12221021020 in words is "twelve billion, two hundred twenty-one million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 173 230 260 299 346 460 598 692 865 1196 1495 1730 2249 2990 3460 3979 4498 5980 7958 8996 11245 11813 15916 19895 22490 23626 39790 44980 47252 51727 59065 79580 103454 118130 153569 206908 236260 258635 271699 307138 517270 543398 614276 767845 1034540 1086796 1358495 1535690 2043649 2716990 3071380 3532087 4087298 5433980 7064174 8174596 10218245 14128348 17660435 20436490 26567437 35320870 40872980 47003927 53134874 70641740 94007854 106269748 132837185 188015708 235019635 265674370 470039270 531348740 611051051 940078540 1222102102 2444204204 3055255255 6110510510 12221021020