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12222133220 = 22511101563977
BaseRepresentation
bin10110110000111111…
…01111001111100100
31011112210002200211202
423120133233033210
5200012331230340
65340442422032
7611606263313
oct133037571744
934483080752
1012222133220
115202091650
122451201918
1311ca19b1bb
1483d32227a
154b7eecc15
hex2d87ef3e4

12222133220 has 96 divisors (see below), whose sum is σ = 28356241536. Its totient is φ = 4388096000.

The previous prime is 12222133219. The next prime is 12222133229. The reversal of 12222133220 is 2233122221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12222133192 and 12222133201.

It is not an unprimeable number, because it can be changed into a prime (12222133229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12509372 + ... + 12510348.

It is an arithmetic number, because the mean of its divisors is an integer number (295377516).

Almost surely, 212222133220 is an apocalyptic number.

12222133220 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 12222133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14178120768).

12222133220 is an abundant number, since it is smaller than the sum of its proper divisors (16134108316).

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

12222133220 is a wasteful number, since it uses less digits than its factorization.

12222133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12222133220 its reverse (2233122221), we get a palindrome (14455255441).

The spelling of 12222133220 in words is "twelve billion, two hundred twenty-two million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 563 977 1010 1111 1126 1954 2020 2222 2252 2815 3908 4444 4885 5555 5630 6193 9770 10747 11110 11260 12386 19540 21494 22220 24772 30965 42988 53735 56863 61930 98677 107470 113726 123860 197354 214940 227452 284315 394708 493385 550051 568630 625493 986770 1085447 1100102 1137260 1250986 1973540 2170894 2200204 2501972 2750255 3127465 4341788 5427235 5500510 6050561 6254930 10854470 11001020 12101122 12509860 21708940 24202244 30252805 55555151 60505610 111110302 121011220 222220604 277775755 555551510 611106661 1111103020 1222213322 2444426644 3055533305 6111066610 12222133220