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12213004120 = 2355319928949
BaseRepresentation
bin10110101111111001…
…11010011101011000
31011112010220220001221
423113330322131120
5200003012112440
65335515021424
7611435552002
oct132774723530
934463826057
1012213004120
1151a7a16839
12244a13a874
1311c8322b75
1483c027372
154b72e7d4a
hex2d7f3a758

12213004120 has 64 divisors (see below), whose sum is σ = 28139400000. Its totient is φ = 4768777728.

The previous prime is 12213004061. The next prime is 12213004127. The reversal of 12213004120 is 2140031221.

It is a junction number, because it is equal to n+sod(n) for n = 12213004094 and 12213004103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213004127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407406 + ... + 436354.

It is an arithmetic number, because the mean of its divisors is an integer number (439678125).

Almost surely, 212213004120 is an apocalyptic number.

12213004120 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 12213004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14069700000).

12213004120 is an abundant number, since it is smaller than the sum of its proper divisors (15926395880).

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

12213004120 is a wasteful number, since it uses less digits than its factorization.

12213004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29212 (or 29208 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12213004120 its reverse (2140031221), we get a palindrome (14353035341).

The spelling of 12213004120 in words is "twelve billion, two hundred thirteen million, four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 199 212 265 398 424 530 796 995 1060 1592 1990 2120 3980 7960 10547 21094 28949 42188 52735 57898 84376 105470 115796 144745 210940 231592 289490 421880 578980 1157960 1534297 3068594 5760851 6137188 7671485 11521702 12274376 15342970 23043404 28804255 30685940 46086808 57608510 61371880 115217020 230434040 305325103 610650206 1221300412 1526625515 2442600824 3053251030 6106502060 12213004120