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12664222340 = 22571110181421
BaseRepresentation
bin10111100101101100…
…01011001010000100
31012200120222011002212
423302312023022010
5201414020103330
65452354122552
7625555054010
oct136266131204
935616864085
1012664222340
115409694760
122555280458
13126a9581b3
14881d21540
154e1c27295
hex2f2d8b284

12664222340 has 96 divisors (see below), whose sum is σ = 33485937408. Its totient is φ = 3908160000.

The previous prime is 12664222289. The next prime is 12664222381. The reversal of 12664222340 is 4322246621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12664222297 and 12664222306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114830 + ... + 196250.

It is an arithmetic number, because the mean of its divisors is an integer number (348811848).

Almost surely, 212664222340 is an apocalyptic number.

12664222340 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 12664222340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16742968704).

12664222340 is an abundant number, since it is smaller than the sum of its proper divisors (20821715068).

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

12664222340 is a wasteful number, since it uses less digits than its factorization.

12664222340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81549 (or 81547 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 12664222340 its reverse (4322246621), we get a palindrome (16986468961).

The spelling of 12664222340 in words is "twelve billion, six hundred sixty-four million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 22220 31108 38885 77770 81421 155540 162842 325684 407105 569947 814210 895631 1139894 1628420 1791262 2279788 2849735 3582524 4478155 5699470 6269417 8223521 8956310 11398940 12538834 16447042 17912620 25077668 31347085 32894084 41117605 57564647 62694170 82235210 90458731 115129294 125388340 164470420 180917462 230258588 287823235 361834924 452293655 575646470 633211117 904587310 1151292940 1266422234 1809174620 2532844468 3166055585 6332111170 12664222340