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12220313004 = 2232735778059
BaseRepresentation
bin10110110000110001…
…10010110110101100
31011112122200012222100
423120120302312230
5200011400004004
65340335415100
7611554642464
oct133030626654
934478605870
1012220313004
115201059039
122450684490
1311c99b1853
1483cdaaba4
154b7c8d739
hex2d8632dac

12220313004 has 72 divisors (see below), whose sum is σ = 31371551120. Its totient is φ = 4010176512.

The previous prime is 12220313003. The next prime is 12220313051. The reversal of 12220313004 is 40031302221.

12220313004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12220313003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1512327 + ... + 1520385.

Almost surely, 212220313004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220313004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685775560).

12220313004 is an abundant number, since it is smaller than the sum of its proper divisors (19151238116).

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

12220313004 is a wasteful number, since it uses less digits than its factorization.

12220313004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8714 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12220313004 its reverse (40031302221), we get a palindrome (52251615225).

The spelling of 12220313004 in words is "twelve billion, two hundred twenty million, three hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 577 657 876 1154 1314 1731 2308 2628 3462 5193 6924 8059 10386 16118 20772 24177 32236 42121 48354 72531 84242 96708 126363 145062 168484 252726 290124 379089 505452 588307 758178 1176614 1516356 1764921 2353228 3529842 4650043 5294763 7059684 9300086 10589526 13950129 18600172 21179052 27900258 41850387 55800516 83700774 167401548 339453139 678906278 1018359417 1357812556 2036718834 3055078251 4073437668 6110156502 12220313004