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12213004128 = 2531314476763
BaseRepresentation
bin10110101111111001…
…11010011101100000
31011112010220220002020
423113330322131200
5200003012113003
65335515021440
7611435552013
oct132774723540
934463826066
1012213004128
1151a7a16846
12244a13a880
1311c8322b80
1483c02737a
154b72e7d53
hex2d7f3a760

12213004128 has 96 divisors (see below), whose sum is σ = 34554191616. Its totient is φ = 3754695168.

The previous prime is 12213004127. The next prime is 12213004157. The reversal of 12213004128 is 82140031221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12213004098 and 12213004107.

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, 1802475 + ... + 1809237.

It is an arithmetic number, because the mean of its divisors is an integer number (359939496).

Almost surely, 212213004128 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 12213004128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17277095808).

12213004128 is an abundant number, since it is smaller than the sum of its proper divisors (22341187488).

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

12213004128 is a wasteful number, since it uses less digits than its factorization.

12213004128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8236 (or 8228 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12213004128 its reverse (82140031221), we get a palindrome (94353035349).

The spelling of 12213004128 in words is "twelve billion, two hundred thirteen million, four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1447 2894 4341 5788 6763 8682 11576 13526 17364 18811 20289 23152 27052 34728 37622 40578 46304 54104 56433 69456 75244 81156 87919 108208 112866 138912 150488 162312 175838 216416 225732 263757 300976 324624 351676 451464 527514 601952 649248 703352 902928 1055028 1406704 1805856 2110056 2813408 4220112 8440224 9786061 19572122 29358183 39144244 58716366 78288488 117432732 127218793 156576976 234865464 254437586 313153952 381656379 469730928 508875172 763312758 939461856 1017750344 1526625516 2035500688 3053251032 4071001376 6106502064 12213004128