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12210350064 = 24311210320411
BaseRepresentation
bin10110101111100101…
…10010011111110000
31011111221221001101120
423113302302133300
5200001322200224
65335342102240
7611404156143
oct132762623760
934457831346
1012210350064
1151a6473800
12244927a980
1311c7903b13
1483b93605a
154b6e71779
hex2d7cb27f0

12210350064 has 120 divisors (see below), whose sum is σ = 35010009216. Its totient is φ = 3664003200.

The previous prime is 12210350027. The next prime is 12210350083. The reversal of 12210350064 is 46005301221.

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

It is a congruent 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, 588019 + ... + 608429.

Almost surely, 212210350064 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 12210350064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17505004608).

12210350064 is an abundant number, since it is smaller than the sum of its proper divisors (22799659152).

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

12210350064 is a wasteful number, since it uses less digits than its factorization.

12210350064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20547 (or 20530 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12210350064 its reverse (46005301221), we get a palindrome (58215651285).

The spelling of 12210350064 in words is "twelve billion, two hundred ten million, three hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 121 132 176 206 242 264 309 363 412 484 528 618 726 824 968 1133 1236 1452 1648 1936 2266 2472 2904 3399 4532 4944 5808 6798 9064 12463 13596 18128 20411 24926 27192 37389 40822 49852 54384 61233 74778 81644 99704 122466 149556 163288 199408 224521 244932 299112 326576 449042 489864 598224 673563 898084 979728 1347126 1796168 2102333 2469731 2694252 3592336 4204666 4939462 5388504 6306999 7409193 8409332 9878924 10777008 12613998 14818386 16818664 19757848 23125663 25227996 29636772 33637328 39515696 46251326 50455992 59273544 69376989 92502652 100911984 118547088 138753978 185005304 254382293 277507956 370010608 508764586 555015912 763146879 1017529172 1110031824 1526293758 2035058344 3052587516 4070116688 6105175032 12210350064