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12229889464704 = 273417431045487
BaseRepresentation
bin1011000111110111111000…
…1101111001100110000000
31121022011111000122220202010
42301331332031321212000
53100333303200332304
642002200023052520
72401403030144022
oct261757615714600
947264430586663
1012229889464704
11399573785224a
1214562992a1140
136a9373211c42
14303d03574012
151631da437789
hexb1f7e379980

12229889464704 has 128 divisors (see below), whose sum is σ = 33322797204480. Its totient is φ = 3971843133440.

The previous prime is 12229889464699. The next prime is 12229889464729. The reversal of 12229889464704 is 40746498892221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11175049 + ... + 12220535.

It is an arithmetic number, because the mean of its divisors is an integer number (260334353160).

Almost surely, 212229889464704 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 12229889464704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16661398602240).

12229889464704 is an abundant number, since it is smaller than the sum of its proper divisors (21092907739776).

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

12229889464704 is a wasteful number, since it uses less digits than its factorization.

12229889464704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046288 (or 1046276 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 12229889464704 in words is "twelve trillion, two hundred twenty-nine billion, eight hundred eighty-nine million, four hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 743 984 1312 1486 1968 2229 2624 2972 3936 4458 5248 5944 7872 8916 11888 15744 17832 23776 30463 35664 47552 60926 71328 91389 95104 121852 142656 182778 243704 285312 365556 487408 731112 974816 1045487 1462224 1949632 2090974 2924448 3136461 3899264 4181948 5848896 6272922 8363896 11697792 12545844 16727792 25091688 33455584 42864967 50183376 66911168 85729934 100366752 128594901 133822336 171459868 200733504 257189802 342919736 401467008 514379604 685839472 776796841 1028759208 1371678944 1553593682 2057518416 2330390523 2743357888 3107187364 4115036832 4660781046 5486715776 6214374728 8230073664 9321562092 12428749456 16460147328 18643124184 24857498912 31848670481 37286248368 49714997824 63697340962 74572496736 95546011443 99429995648 127394681924 149144993472 191092022886 254789363848 298289986944 382184045772 509578727696 764368091544 1019157455392 1528736183088 2038314910784 3057472366176 4076629821568 6114944732352 12229889464704