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12245323312 = 2417292199269
BaseRepresentation
bin10110110011110000…
…01100111000110000
31011121101201212200001
423121320030320300
5200034300321222
65343031435344
7612310350025
oct133170147060
934541655601
1012245323312
115214190712
122458b25b54
131201c2a651
1484243b54c
154ba07de27
hex2d9e0ce30

12245323312 has 120 divisors (see below), whose sum is σ = 26244972000. Its totient is φ = 5515259904.

The previous prime is 12245323297. The next prime is 12245323333. The reversal of 12245323312 is 21332354221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45521514 + ... + 45521782.

It is an arithmetic number, because the mean of its divisors is an integer number (218708100).

Almost surely, 212245323312 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 12245323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122486000).

12245323312 is an abundant number, since it is smaller than the sum of its proper divisors (13999648688).

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

12245323312 is a wasteful number, since it uses less digits than its factorization.

12245323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 516 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

Adding to 12245323312 its reverse (21332354221), we get a palindrome (33577677533).

The spelling of 12245323312 in words is "twelve billion, two hundred forty-five million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 199 232 269 272 398 464 493 538 796 841 986 1076 1592 1682 1972 2152 3184 3364 3383 3944 4304 4573 5771 6728 6766 7801 7888 9146 11542 13456 13532 14297 15602 18292 23084 27064 28594 31204 36584 46168 53531 54128 57188 62408 73168 92336 98107 107062 114376 124816 132617 167359 196214 214124 226229 228752 265234 334718 392428 428248 452458 530468 669436 784856 856496 904916 910027 1060936 1338872 1552399 1569712 1809832 1820054 2121872 2677744 2845103 3104798 3619664 3640108 3845893 5690206 6209596 7280216 7691786 11380412 12419192 14560432 15383572 22760824 24838384 26390783 30767144 45019571 45521648 52781566 61534288 90039142 105563132 180078284 211126264 360156568 422252528 720313136 765332707 1530665414 3061330828 6122661656 12245323312